Refined conjugate generation in sporadic groups Full article
| Journal |
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN)
ISSN: 0134-4889 , E-ISSN: 2658-4786 |
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| Output data | Year: 2026, Volume: 32, Number: 1, Pages: 197-205 Pages count : 9 DOI: 10.21538/0134-4889-2026-32-1-197-205 | ||||
| Tags | sporadic group, conjugacy, generators | ||||
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0017 |
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~$4$.
Cite:
Revin D.O.
, Zavarnitsine A.V.
Refined conjugate generation in sporadic groups
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2026. V.32. N1. P.197-205. DOI: 10.21538/0134-4889-2026-32-1-197-205
Refined conjugate generation in sporadic groups
Труды Института математики и механики УрО РАН (Trudy Instituta Matematiki i Mekhaniki UrO RAN). 2026. V.32. N1. P.197-205. DOI: 10.21538/0134-4889-2026-32-1-197-205
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