Finite groups in which different conjugacy classes have different cardinalities (Q1913951)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Finite groups in which different conjugacy classes have different cardinalities |
scientific article; zbMATH DE number 883760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite groups in which different conjugacy classes have different cardinalities |
scientific article; zbMATH DE number 883760 |
Statements
Finite groups in which different conjugacy classes have different cardinalities (English)
0 references
9 July 1996
0 references
This note contains an elementary proof of the following result of \textit{J. P. Zhang} [J. Algebra 170, No. 2, 608-624 (1994; Zbl 0816.20023)]: if \(G\) is a finite nonabelian group in which distinct conjugacy classes of noncentral elements have different cardinalities, then \(Z(G)=1\).
0 references
finite groups
0 references
conjugacy classes
0 references
noncentral elements
0 references
