A. Staroletov

activity

20182026

most citedOn groups having the prime graph as alternating and symmetric groups

5 citations · 6 across the 11 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

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 $ρ$ be an irreducible representation of $S_{n}$ over the field of complex numbers and $σ \in S_{n}$ . In this paper, we describe th…