Refined conjugate generation in sporadic groups
Group Theory
2026-03-09 v1
Abstract
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 divisible by a fixed prime divisor of . The only exception is the case where , is in class , , and then the required number of generators is .
Cite
@article{arxiv.2602.18027,
title = {Refined conjugate generation in sporadic groups},
author = {Danila O. Revin and Andrei V. Zavarnitsine},
journal= {arXiv preprint arXiv:2602.18027},
year = {2026}
}