Refined conjugate generation in sporadic groups

Trudy Instituta Matematiki i Mekhaniki UrO RAN 2026 Open access

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Authors: Danila Olegovich Revin, Andrei V. Zavarnitsine
DOI: 10.21538/0134-4889-2026-32-1-197-205
Cited by: 0
References: 13

Abstract

UDC 512.542 MSC: 20D06, 20E28, 20E45 DOI: 10.21538/0134-4889-2026-32-1-197-205 This research was carried out within the State Contract of the Sobolev Institute of Mathematics (FWNF-2026-0017). 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

Fields of Study & Subjects

Finite Group Theory Research Advanced Algebra and Geometry Geometric and Algebraic Topology

Publication details

Journal / source
Trudy Instituta Matematiki i Mekhaniki UrO RAN
Volume
32
Issue
1
Pages
197–205
Publication date
1 March 2026
Language
EN