Ilya Gorshkov
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Structure of finite groups with restrictions on the set of conjugacy
classes sizes
cm:9722 -
Communications in Mathematics,
February 3, 2023,
Volume 32 (2024), Issue 1
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https://doi.org/10.46298/cm.9722Structure of finite groups with restrictions on the set of conjugacy
classes sizesArticle
Authors: Ilya Gorshkov
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Ilya Gorshkov
Let $N(G)$ be the set of conjugacy classes sizes of $G$. We prove that if $N(G)=\Omega\times \{1,n\}$ for specific set $\Omega$ of integers, then $G\simeq A\times B$ where $N(A)=\Omega$, $N(B)=\{1,n\}$, and $n$ is a power of prime.
Volume: Volume 32 (2024), Issue 1
Published on: February 3, 2023
Accepted on: January 11, 2023
Submitted on: June 22, 2022
Keywords: Mathematics - Group Theory