Výsledky vyhledávání - Classificació AMS::12 Field theory and polynomials::12F Field extensions
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- Classificació AMS 12 Field theory and polynomials 12F Field extensions »
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1
Revisiting Kneser’s Theorem for Field Extensions
ISSN: 0209-9683, 1439-6912Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2018Vydáno v Combinatorica (Budapest. 1981) (01.08.2018)“…A Theorem of Hou, Leung and Xiang generalised Kneser’s addition Theorem to field extensions…”
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2
Induced Hopf Galois structures
ISSN: 0021-8693, 1090-266XVydáno: Elsevier Inc 01.07.2016Vydáno v Journal of algebra (01.07.2016)“…For a finite Galois extension K/k and an intermediate field F such that Gal(K/F) has a normal complement in Gal(K/k…”
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3
The Hopf Galois Property in Subfield Lattices
ISSN: 0092-7872, 1532-4125Vydáno: Taylor & Francis Group 02.01.2016Vydáno v Communications in algebra (02.01.2016)“…Let K/k be a finite separable extension, n its degree and its Galois closure. For n ≤ 5, Greither and Pareigis show that all Hopf Galois extensions are either…”
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From Galois to Hopf Galois: Theory and Practice
ISBN: 9780821898581, 0821898582ISSN: 0271-4132, 1098-3627Vydáno: Providence, Rhode Island American Mathematical Society 28.09.2015Vydáno v Trends in Number Theory (28.09.2015)“…Hopf Galois theory expands the classical Galois theory by considering the Galois property in terms of the action of the group algebra…”
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Hopf Galois structures on symmetric and alternating extensions
ISSN: 1076-9803, 1076-9803Vydáno: 2018“…By using a recent theorem by Koch, Kohl, Truman and Underwood on normality, we determine that some types of Hopf Galois structures do not occur on Galois extensions with Galois group isomorphic…”
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