M. Grechkoseeva

activity

20212026

most citedFinite groups isospectral to simple groups

15 citations · 19 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.GR2026

The problem of recognition of finite simple groups by element orders is solved

Maria A. Grechkoseeva, Alexey M. Staroletov, Andrey V. Vasil'ev

For a finite group $G$ , let $ω (G)$ be the set of element orders of $G$ and let $h (G)$ be the number of pairwise nonisomorphic finite groups $H$ with $ω (H) = ω (G)$ . We say that the re…

math.GR2026

Recognition by element orders for simple linear and unitary groups

Maria A. Grechkoseeva, Alexey M. Staroletov, Andrey V. Vasil'ev

For a finite group $G$ , let $ω (G)$ be the set of element orders of $G$ and let $h (G)$ be the number of pairwise nonisomorphic finite groups $H$ with $ω (H) = ω (G)$ . We say that the re…

math.GR2026

On recognition of simple classical groups with prime graph independence number $4$ by spectrum

Maria A. Grechkoseeva, Vladislav M. Rodionov

Let $L$ be one of the finite simple classical groups $L_{8} (q)$ , $U_{8} (q)$ , $O_{10}^{+} (q)$ , $O_{10}^{-} (q)$ or $O_{12}^{+} (q)$ , with $q$ odd. We prove that every finite group having the sa…

The problem of recognition of finite simple groups by element orders is solved

Recognition by element orders for simple linear and unitary groups

On recognition of simple classical groups with prime graph independence number 4 by spectrum

On recognition of simple classical groups with prime graph independence number $4$ by spectrum