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.

Uloženo v:
Podrobná bibliografie
Vydáno v:Periodica mathematica Hungarica Ročník 90; číslo 1; s. 203 - 216
Hlavní autoři: Dung, Truong Huu, Hai, Bui Xuan, Son, Tran Nam
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.03.2025
Springer Nature B.V
Témata:
Mathematics
Mathematics and Statistics
Rings (mathematics)
Subgroups
16S34
20F50
Unit groups
16U60
Group algebras
Involutions
ISSN:0031-5303, 1588-2829
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
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.
Bibliografie: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