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28 March 2024
 
  » arxiv » math/0612722

 Article overview


Homogeneous products of conjugacy classes
Edith Adan-Bante ;
Date 22 Dec 2006
Subject Group Theory
AbstractLet $G$ be a finite group and $ain G$. Let $a^G={g^{-1}agmid gin G}$ be the conjugacy class of $a$ in $G$. Assume that $a^G$ and $b^G$ are conjugacy classes of $G$ with the property that ${f C}_G(a)={f C}_G(b)$. Then $a^G b^G$ is a conjugacy class if and only if $[a,G]=[b,G]=[ab,G]$ and $[ab,G]$ is a normal subgroup of $G$.
Source arXiv, math/0612722
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