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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| Published in: | Periodica mathematica Hungarica Vol. 90; no. 1; pp. 203 - 216 |
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| Language: | English |
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| Abstract | 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. |
|---|---|
| AbstractList | 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. 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. |
| Author | Hai, Bui Xuan Dung, Truong Huu Son, Tran Nam |
| Author_xml | – sequence: 1 givenname: Truong Huu surname: Dung fullname: Dung, Truong Huu email: thdung@dnpu.edu.vn, dungth0406@gmail.com organization: Department of Mathematics, Dong Nai University – sequence: 2 givenname: Bui Xuan surname: Hai fullname: Hai, Bui Xuan organization: Faculty of Mathematics and Computer Science, University of Science, Vietnam National University – sequence: 3 givenname: Tran Nam surname: Son fullname: Son, Tran Nam organization: Faculty of Mathematics and Computer Science, University of Science, Vietnam National University |
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| Snippet | 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... 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... |
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| Subtitle | Reversibility in matrix rings and group algebras |
| Title | Reversibility in matrix rings and group algebras |
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