D. Revin

collaborators

3 papers

math.GR2026

Refined conjugate generation in sporadic groups

Danila O. Revin, Andrei V. Zavarnitsine

Given an automorphism $x$ of order bigger than $2$ of a sporadic simple group $S$ , we show that there are at most $3$ conjugates of $x$ 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 $3$ of $O_{8}^{+} (2)$ and $O_{8}^{+} (3)$ . 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 $S$ and its nonidentity automorphism $x$ , a natural number $I^\pm_{S} (x)$ is the minimum number of conjugates of $x$ in…