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arXiv · 2602.18027

Refined conjugate generation in sporadic groups

Danila O. Revin·Andrei V. Zavarnitsine
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Abstract

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 divisible by a fixed prime divisor $r$ of $|S|$. The only exception is the case where $S=Suz$, $x$ is in class $3A$, $r=11$, and then the required number of generators is $4$.

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Danila O. Revin, Andrei V. Zavarnitsine. 2026-02-20. Refined conjugate generation in sporadic groups. https://doi.org/10.21538/0134-4889-2026-32-1-197-205

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