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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Bibliographic Details
Published in:Periodica mathematica Hungarica Vol. 90; no. 1; pp. 203 - 216
Main Authors: Dung, Truong Huu, Hai, Bui Xuan, Son, Tran Nam
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 01.03.2025
Springer Nature B.V
Subjects:
Mathematics
Mathematics and Statistics
Rings (mathematics)
Subgroups
16S34
20F50
Unit groups
16U60
Group algebras
Involutions
ISSN:0031-5303, 1588-2829
Online Access:Get full text
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Description
Summary: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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content type line 14
ISSN:0031-5303
1588-2829
DOI:10.1007/s10998-024-00614-0