Viktor Panshin

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math.GR2025

On recognition of simple groups with disconnected prime graph by spectrum

Viktor Panshin

Two finite groups are said to be isospectral if they have the same sets of element orders. This paper completes the description of finite groups that are isospectral to finite simp…

math.GR2022

On recognition of $A_{6} \times A_{6}$ by the set of conjugacy class sizes

Viktor Panshin

For a finite group $G$ denote by $N (G)$ the set of conjugacy class sizes of $G$ . Recently the following question has been asked: Is it true that for each nonabelian finite simple g…

On recognition of simple groups with disconnected prime graph by spectrum

On recognition of A6​×A6​ by the set of conjugacy class sizes

On recognition of $A_{6} \times A_{6}$ by the set of conjugacy class sizes