A. Staroletov

collaborators

3 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.RT2025

Minimal Polynomials in Spin Representations of Symmetric and Alternating Groups

Amritanshu Prasad, Velmurugan S, Alexey Staroletov

We determine the minimal polynomial of each element of the double cover $G$ of the symmetric or alternating group in every irreducible spin representation of $G$ .

math.GR2025

On eigenvalues of permutations in irreducible representations of symmetric and alternating groups

Alexey Staroletov

Denote the symmetric group of degree $n$ by $S_{n}$ . Let $I ¨ $ be an irreducible representation of $S_{n}$ over the field of complex numbers and $I ¨ \in S_{n}$ . In this paper, we describe…