Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle

Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle

We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms. These results refine the estimates obtained earlier in the papers by Guralnick and Saxl and by Di Martino, Pellegrini, and Zalessk...

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Veröffentlicht in:Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) 2024-01, Vol.49 (1), p.135-142
Hauptverfasser: Revin, D. O., Zavarnitsine, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
baer–suzuki theorem
conjugacy
fischer group
generators
sporadic group
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Beschreibung
Zusammenfassung:We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms. These results refine the estimates obtained earlier in the papers by Guralnick and Saxl and by Di Martino, Pellegrini, and Zalesski.
ISSN:1997-7670
2541-8785
DOI:10.26516/1997-7670.2024.49.135