Reversibility in matrix rings and group algebras Reversibility in matrix rings and group algebras

An element of a group is reversible if it is conjugate to its own inverse. This paper aims to describe the structure of subgroups, subrings, and linear spans generated by reversible elements in matrix rings and group algebras.

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Vydané v:Periodica mathematica Hungarica Ročník 90; číslo 1; s. 203 - 216
Hlavní autori: Dung, Truong Huu, Hai, Bui Xuan, Son, Tran Nam
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.03.2025
Springer Nature B.V
Predmet:
Mathematics
Mathematics and Statistics
Rings (mathematics)
Subgroups
16S34
20F50
Unit groups
16U60
Group algebras
Involutions
ISSN:0031-5303, 1588-2829
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Shrnutí:An element of a group is reversible if it is conjugate to its own inverse. This paper aims to describe the structure of subgroups, subrings, and linear spans generated by reversible elements in matrix rings and group algebras.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0031-5303
1588-2829
DOI:10.1007/s10998-024-00614-0