M. Grechkoseeva

collaborators

4 papers

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 $I ¨ (G)$ be the set of element orders of $G$ and let $h (G)$ be the number of pairwise nonisomorphic finite groups $H$ with $I ¨ (H) = I ¨ (G)$ . We say that the…

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 $I ¨ (G)$ be the set of element orders of $G$ and let $h (G)$ be the number of pairwise nonisomorphic finite groups $H$ with $I ¨ (H) = I ¨ (G)$ . We say that the…

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…

math.GR2025

On primitive prime divisors of the orders of Suzuki-Ree groups (corrected version)

Maria Grechkoseeva

There is a well-known factorization of the number $2^{2 m} + 1$ , with $m$ odd, related to the orders of tori of simple Suzuki groups: $2^{2 m} + 1$ is a product of $a = 2^{m} + 2^{(m + 1) /2} + 1$ …

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 primitive prime divisors of the orders of Suzuki-Ree groups (corrected version)

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