activity
20082026
most citedOn the number of classes of conjugate Hall subgroups in finite simple groups

71 citations · 213 across the 32 of their papers we have counts for

collaborators

33 papers

math.GR2026

Refined conjugate generation in sporadic groups

Danila O. Revin, Andrei V. Zavarnitsine

Given an automorphism of order bigger than of a sporadic simple group , we show that there are at most conjugates of required to generate a subgroup of order div…

math.GR2025

On generation by triality automorphisms

Danila O. Revin, Andrei V. Zavarnitsine

We clarify the structure of subgroups generated by conjugate graph automorphisms of order of and . As a result, we obtain a correction to a paper by S. Gue…

math.GR2025

Conjugate generation of sporadic almost simple groups

Danila O. Revin, Andrei V. Zavarnitsine

As defined by Guralnick and Saxl, given a nonabelian simple group and its nonidentity automorphism , a natural number is the minimum number of conjugates of in…

math.GR2024

Generation by conjugate elements of finite almost simple groups with a sporadic socle

Danila O. Revin, Andrei V. Zavarnitsine

As defined by Guralnick and Saxl given a nonabelian simple group and its nonidentity automorphism , a natural number does not exceed a natural number if some $m…

math.GR2022★ 1 cited

On generations by conjugate elements in almost simple groups with socle $\mbox{}^2F_4(q^2)'$

Danila O. Revin, Andrei V. Zavarnitsine

We prove that if $L=\mbox{}^2F_4(2^{2n+1})'$ and is a nonidentity automorphism of then has four elements conjugate to that generate . This res…

math.GR2022★ 1 cited

On embedding theorems for -subgroups

Wenbin Guo, Danila O. Revin, Andrey V. Vasil'ev

Let be a class of finite groups closed under subgroups, homomorphic images, and extensions. We study the question which goes back to the lectures of H. Wielandt in 1…