V. Mazurov

activity

20142021

most citedFinite groups isospectral to simple groups

15 citations · 18 across the 5 of their papers we have counts for

collaborators

5 papers

math.GR2021★ 15 cited

Finite groups isospectral to simple groups

Maria A. Grechkoseeva, Victor D. Mazurov, Wujie Shi +2

The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectr…

math.GR2018★ 3 cited

Spectra of Cayley graphs

Wenbin Guo, Daria V. Lytkina, Victor D. Mazurov +1

Let $G$ be a group and $S \subseteq G$ its subset such that $S = S^{- 1}$ , where $S^{- 1} = {s^{- 1} ∣ s \in S}$ . Then {\it the Cayley graph $Cay (G, S)$ } is an undirected graph $Γ$ …

math.GR2018

Splitting via Noncommutativity

M. L. Lewis, D. V. Lytkina, V. D. Mazurov +1

Let $G$ be a nonabelian group and $n$ a natural number. We say that $G$ has a strict $n$ -split decomposition if it can be partitioned as the disjoint union of an abelian subgroup $…

math.GR2015

Recognizing by Spectrum for the Automorphism Groups of Sporadic Simple Groups

Victor Danilovich Mazurov, Alireza Moghaddamfar

The spectrum of a finite group is the set of its element orders, and two groups are said to be isospectral if they have the same spectra. A finite group $G$ is said to be recogniza…

math.GR2014

Nereshennye voprosy teorii grupp. Kourovskaya tetrad'. 18-e izd. (Russian)

V. D. Mazurov, E. I. Khukhro

This is a collection of open problems in Group Theory proposed by more than 300 mathematicians from all over the world. It has been published every 2-4 years in Novosibirsk since 1…