Conjugate generation of sporadic almost simple groups Full article
| Journal |
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
||
|---|---|---|---|
| Output data | Year: 2025, Volume: 22, Number: 1, Pages: 552-562 Pages count : 11 DOI: 10.33048/semi.2025.22.037 | ||
| Tags | sporadic group, automorphism group, conjugacy, generators. | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
Abstract:
As defined by Guralnick and Saxl, given a nonabelian simple group S and its nonidentity automorphism x, a natural number αS(x) is the minimum number of conjugates of x in ⟨x, S⟩ that generate a subgroup containing S. In this paper, for every sporadic group S other than the Monster and an automorphism x of S of prime order, we complete the determination of the precise value of αS(x).
Cite:
Revin D.O.
, Zavarnitsine A.V.
Conjugate generation of sporadic almost simple groups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025. V.22. N1. P.552-562. DOI: 10.33048/semi.2025.22.037
Conjugate generation of sporadic almost simple groups
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025. V.22. N1. P.552-562. DOI: 10.33048/semi.2025.22.037
Dates:
| Submitted: | Jan 17, 2025 |
| Published print: | May 31, 2025 |
| Published online: | May 31, 2025 |
Identifiers:
No identifiers
Citing:
Пока нет цитирований