Výsledky vyhľadávania - "Arithmetic and combinatorial problems involving abstract finite groups"

On the Order Sequence of a Group: On the order sequence of a group

Autori: Cameron, Peter J. Dey, Hiranya Kishore University of St Andrews.School of Mathematics and Statistics a ďalší

Prispievatelia: Cameron, Peter J. Dey, Hiranya Kishore University of St Andrews.School of Mathematics and Statistics a ďalší

Zdroj: The Electronic Journal of Combinatorics. 32

Predmety: Q Science, Mathematics(all), Extensions, wreath products, and other compositions of groups, 20D15, 20D60, 20E22, 05E16, Group Theory (math.GR), 3rd-NDAS, Combinatorial aspects of groups and algebras, Order sequence, Extension, Finite nilpotent groups, \(p\)-groups, Partitions of integer, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups, Nilpotent group

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2310.06516
https://zbmath.org/8036388
https://doi.org/10.37236/13413
https://hdl.handle.net/10023/31990

Some zero-sum problems over $$\langle x,y \mid x^2 = y^{n/2}, y^n = 1, yx = xy^s \rangle $$: Some zero-sum problems over \(\langle x,y \mid x^2 = y^{n/2}, y^n = 1, yx = xy^s \rangle\)

Autori: S. Ribas

Zdroj: Bulletin of the Brazilian Mathematical Society, New Series. 56

Predmety: groups with a cyclic index 2 subgroup, Mathematics - Number Theory, Inverse problems of additive number theory, including sumsets, Other combinatorial number theory, Zhuang-Gao conjecture, FOS: Mathematics, Mathematics - Combinatorics, Number Theory (math.NT), Combinatorics (math.CO), zero-sum problems, Gao conjecture, Arithmetic and combinatorial problems involving abstract finite groups

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2501.03338

Critical classes of power graphs and reconstruction of directed power graphs

Autori: Daniela Bubboloni Nicolas Pinzauti

Zdroj: Journal of Group Theory.

Predmety: graph reconstruction, Moore closures, graphs, finite groups, power graphs, directed power graphs, 05C25, 06A15, Moore closure, Group Theory (math.GR), 0102 computer and information sciences, Galois correspondences, closure operators (in relation to ordered sets), directed graph, 01 natural sciences, Graphs and abstract algebra (groups, rings, fields, etc.), power graph of groups, twin class, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: http://arxiv.org/abs/2211.14778
http://arxiv.org/abs/2211.14778v3
https://doi.org/10.1515/jgth-2023-0181
https://hdl.handle.net/2158/1399986

Bounding functions concerning character degrees of solvable groups

Autori: Horváth, Erzsébet

Zdroj: Publicationes Mathematicae Debrecen. 38:231-235

Predmety: Ordinary representations and characters, bounds on character degrees, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, derived series, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups, irreducible character degrees

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/21997

Counterexamples to a conjecture about the sum of degrees of irreducible characters

Autori: Berkovich, Yakov

Zdroj: Publicationes Mathematicae Debrecen. 39:1-4

Predmety: class number, Ordinary representations and characters, normal subgroups, irreducible complex characters, degrees of irreducible characters, finite group, Frobenius reciprocity, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/38421

Some theorems on wreath products

Autori: Kovács, L. G.

Zdroj: Publicationes Mathematicae Debrecen. 35:155-160

Predmety: Automorphisms of infinite groups, embedding theorem, Extensions, wreath products, and other compositions of groups, Subgroup theorems, subgroup growth, standard embeddings, permutational wreath product, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/4083912

Hypercentre-by-finite groups

Autori: Tomkinson, M. J.

Zdroj: Publicationes Mathematicae Debrecen. 40:313-321

Predmety: index, covering subgroups, nilpotent-by-finite groups, Generalizations of solvable and nilpotent groups, FC-groups and their generalizations, Chains and lattices of subgroups, subnormal subgroups, Subgroup theorems, subgroup growth, finitely generated soluble group, hypercentre, 01 natural sciences, Nilpotent groups, Derived series, central series, and generalizations for groups, 0101 mathematics, Arithmetic and combinatorial problems involving abstract finite groups, Local properties of groups, groups covered by finitely many nilpotent subgroups

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/40459

Wreath Products and Projective System of non-Schurian Association Schemes: Wreath products and projective system of non-Schurian association schemes

Autori: Matsumoto, Makoto Ogawa, Kento

Zdroj: The Electronic Journal of Combinatorics. 31

Predmety: lexicographic ordering, ordered orthogonal arrays, FOS: Mathematics, Association schemes, strongly regular graphs, Mathematics - Combinatorics, 05E30 (Primary) 20E18 (Secondary), Orthogonal arrays, Latin squares, Room squares, 0102 computer and information sciences, Combinatorics (math.CO), 0101 mathematics, Limits, profinite groups, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2207.09205

On finite groups with prescribed two-generator subgroups and integral Cayley graphs

Autori: Feng, Yan-Quan Kovács, István

Zdroj: Journal of Group Theory. 24:1019-1041

Predmety: 2. Zero hunger, Frobeniusova grupa, 2-grupa, Graphs and linear algebra (matrices, eigenvalues, etc.), Frobenius group, 20D45, 20E25, Group Theory (math.GR), 0102 computer and information sciences, integral eigenvalues, posebna grupa, 16. Peace & justice, 01 natural sciences, Cayley graph, 2-group, Graphs and abstract algebra (groups, rings, fields, etc.), FOS: Mathematics, special group, 0101 mathematics, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups

Popis súboru: application/xml; text/url

Prístupová URL adresa: http://arxiv.org/pdf/2104.00434
http://arxiv.org/abs/2104.00434
https://zbmath.org/7394413
https://doi.org/10.1515/jgth-2020-0094
https://www.degruyter.com/document/doi/10.1515/jgth-2020-0094/html
https://hdl.handle.net/20.500.12556/RUP-16064
https://repozitorij.upr.si/IzpisGradiva.php?id=16064
https://doi.org/10.1515/jgth-2020-0094

On sets of elements of the same order in the alternating group $A_n$: On sets of elements of the same order in the alternating group \(A_n\)

Autori: Bagiński, Czesław

Zdroj: Publicationes Mathematicae Debrecen. 34:313-315

Predmety: Subgroups of symmetric groups, Generators, relations, and presentations of groups, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups, products of elements of order 2, products of elements of order 3

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/4093729

Groups that have a partition by commuting subsets

Autori: Ali Reza Moghaddamfar Josh Hiller Mark L. Lewis a ďalší

Zdroj: Journal of Group Theory. 24:549-571

Predmety: 4. Education, Primary: 20D06, Secondary 05C25, FOS: Mathematics, groups, Group Theory (math.GR), 0101 mathematics, commuting graphs, Mathematics - Group Theory, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups, AP-groups, Combinatorial aspects of groups and algebras

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/pdf/2005.00467
http://arxiv.org/abs/2005.00467
https://zbmath.org/7346976
https://doi.org/10.1515/jgth-2020-0065
https://www.degruyter.com/view/journals/jgth/ahead-of-print/article-10.1515-jgth-2020-0065/article-10.1515-jgth-2020-0065.xml?language=en

The independence graph of a finite group

Autori: Lucchini A.

Zdroj: Monatshefte für Mathematik. 193:845-856

Predmety: Connectivity, Generating graph, Generating sets, Planarity, Soluble groups, Group Theory (math.GR), planarity, 16. Peace & justice, 01 natural sciences, Graphs and abstract algebra (groups, rings, fields, etc.), soluble groups, connectivity, FOS: Mathematics, generating sets, generating graph, 0101 mathematics, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: https://link.springer.com/content/pdf/10.1007/s00605-020-01445-0.pdf
http://arxiv.org/abs/2004.14651
https://link.springer.com/content/pdf/10.1007/s00605-020-01445-0.pdf
https://ui.adsabs.harvard.edu/abs/2020arXiv200414651L/abstract
https://link.springer.com/article/10.1007/s00605-020-01445-0

On Davenport Constant of the Group $C_2^{r-1} \oplus C_{2k}$: The Davenport constant of the group \(C_2^{r-1} \oplus C_{2k}\)

Autori: Zhao, Kevin

Zdroj: The Electronic Journal of Combinatorics. 30

Predmety: Finite abelian groups, finite abelian additive group, Other combinatorial number theory, Davenport constant, sequence, Arithmetic and combinatorial problems involving abstract finite groups, subsequence

Popis súboru: application/xml

On the direct and inverse zero-sum problems over $C_n \rtimes_s C_2$: On the direct and inverse zero-sum problems over \(C_n \rtimes_s C_2\)

Autori: Avelar, D. V. Brochero Martínez, F. E. Ribas, S.

Predmety: small Davenport constant, Mathematics - Number Theory, Inverse problems of additive number theory, including sumsets, \(\eta\)-constant, 0102 computer and information sciences, Erdős-Ginzburg-Ziv constant, 01 natural sciences, Additive bases, including sumsets, Gao constant, zero-sum problem, Other combinatorial number theory, FOS: Mathematics, Mathematics - Combinatorics, Number Theory (math.NT), Combinatorics (math.CO), 0101 mathematics, Arithmetic and combinatorial problems involving abstract finite groups, Gao's conjecture

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/2201.05579
https://zbmath.org/7680228
https://doi.org/10.1016/j.jcta.2023.105751

The Noether numbers and the Davenport constants of the groups of order less than 32

Autori: Kálmán Cziszter Mátyás Domokos István Szöllősi

Zdroj: Journal of Algebra. 510:513-541

Predmety: QA Mathematics / matematika, degree bound, Noether number, Davenport constant, Mathematics - Rings and Algebras, Group Theory (math.GR), 0102 computer and information sciences, 01 natural sciences, 13A50 (Primary), 20D60 (Secondary), Rings and Algebras (math.RA), product-one sequence, FOS: Mathematics, polynomial invariant, Mathematics - Combinatorics, Combinatorics (math.CO), 0101 mathematics, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups, Actions of groups on commutative rings, invariant theory

Popis súboru: application/xml; text

Prístupová URL adresa: http://real.mtak.hu/89754/1/1702.02997v3.pdf
http://arxiv.org/abs/1702.02997
https://arxiv.org/abs/1702.02997
http://export.arxiv.org/pdf/1702.02997
https://arxiv.org/pdf/1702.02997.pdf
https://ui.adsabs.harvard.edu/abs/2017arXiv170202997C/abstract
https://www.sciencedirect.com/science/article/pii/S0021869318302102

Some bounds for relative autocommutativity degree

Autori: Nath, Rajat Kanti Dutta, Parama

Zdroj: Proyecciones (Antofagasta); Vol. 39 No. 3 (2020); 679-691 ; Proyecciones. Revista de Matemática; Vol. 39 Núm. 3 (2020); 679-691 ; 0717-6279 ; 10.22199/issn.0717-6279-2020-03

Predmety: Autocommutativity degree, Automorphism group, 20P05, Probabilistic methods in group theory, 20D60, Arithmetic and combinatorial problems involving abstract finite groups, 20F28, Automorphism groups of groups

Popis súboru: application/pdf

Relation: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3645/3421; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3645

Dostupnosť: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3645
https://doi.org/10.22199/issn.0717-6279-2020-03-0042

Growth in groups: ideas and perspectives

Autori: Helfgott, Harald Andrés

Prispievatelia: Helfgott, Harald Andrés

Zdroj: Bulletin of the American Mathematical Society. 52:357-413

Predmety: growth, permutation groups, Group Theory (math.GR), 7. Clean energy, 01 natural sciences, 5. Gender equality, Linear algebraic groups over finite fields, FOS: Mathematics, Mathematics - Combinatorics, General theory for finite permutation groups, Number Theory (math.NT), 0101 mathematics, 10. No inequality, Arithmetic and combinatorial problems involving abstract finite groups, Mathematics - Number Theory, 9. Industry and infrastructure, 1. No poverty, non-commutative groups, Arithmetic combinatorics, higher degree uniformity, Asymptotic properties of groups, \( \mathrm {SL}_2(\mathbb{Z}/p\mathbb{Z})\), 13. Climate action, additive combinatorics, Combinatorics (math.CO), Mathematics - Group Theory, 20F69, 20D60, 11B30, 20B05, 05C25, linear algebraic groups

Popis súboru: application/xml

Prístupová URL adresa: https://www.ams.org/bull/2015-52-03/S0273-0979-2015-01475-8/S0273-0979-2015-01475-8.pdf
http://arxiv.org/abs/1303.0239
https://zbmath.org/6444106
https://doi.org/10.1090/s0273-0979-2015-01475-8
https://www.ams.org/bull/2015-52-03/S0273-0979-2015-01475-8/S0273-0979-2015-01475-8.pdf
https://www.ams.org/journals/bull/2015-52-03/S0273-0979-2015-01475-8/home.html
https://resolver.sub.uni-goettingen.de/purl?gro-2/4330

Note on the Davenport's constant for finite abelian groups with rank three: Note on the Davenport constant for finite abelian groups with rank three

Autori: Zakarczemny, Maciej Szymon

Predmety: Finite abelian groups, Mathematics - Number Theory, finite abelian group, Davenport constant, Group Theory (math.GR), 01 natural sciences, Sequences (mod \(m\)), Other combinatorial number theory, FOS: Mathematics, 11P70, 11B50, Number Theory (math.NT), 0101 mathematics, zero-sum sequence, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/1910.10984
https://zbmath.org/7455875

On a conjecture of the small Davenport constant for finite groups

Autori: Yongke Qu Yuanlin Li Daniel Teeuwsen

Zdroj: Journal of Combinatorial Theory, Series A. 189:105617

Predmety: Other combinatorial number theory, product-one sequence, finite group, Davenport constant, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups

Popis súboru: application/xml

On finite groups isospectral to simple symplectic and orthogonal groups: On finite groups isospectral to simple symplectic and orthogonal groups.

Autori: M. A. Grechkoseeva V. D. Mazurov Andrey V. Vasil'ev

Zdroj: Siberian Mathematical Journal. 50:965-981

Predmety: spectra of groups, simple groups, 0102 computer and information sciences, composition factors, 01 natural sciences, finite groups, sets of element orders, Linear algebraic groups over finite fields, orthogonal groups, Simple groups: alternating groups and groups of Lie type, symplectic groups, 0101 mathematics, Arithmetic and combinatorial problems involving abstract finite groups, groups of Lie type

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/5887042
https://link.springer.com/article/10.1007/s11202-009-0107-3
https://dialnet.unirioja.es/servlet/articulo?codigo=3100855
http://math.nsc.ru/~vasand/Papers_eng/IsoSO_draft.pdf
https://rd.springer.com/article/10.1007/s11202-009-0107-3