71 citations · 213 across the 32 of their papers we have counts for
33 papers · 1 filter
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…
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…
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…
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…
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…
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…