Generation by conjugate elements of finite almost simple groups with a sporadic socle Full article
| Journal |
Известия Иркутского государственного университета. Серия: Математика (Bulletin of Irkutsk State University. Series Mathematics)
ISSN: 1997-7670 |
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| Output data | Year: 2024, Volume: 49, Pages: 135-142 Pages count : 8 DOI: 10.26516/1997-7670.2024.49.135 | ||||
| Tags | sporadic group, Fischer group, conjugacy, generators, Baer–Suzuki theorem | ||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0002 |
| 2 | Russian Science Foundation | 19-71-10017 |
Abstract:
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.
Cite:
Revin D.O.
, Zavarnitsine A.V.
Generation by conjugate elements of finite almost simple groups with a sporadic socle
Известия Иркутского государственного университета. Серия: Математика (Bulletin of Irkutsk State University. Series Mathematics). 2024. V.49. P.135-142. DOI: 10.26516/1997-7670.2024.49.135 WOS Scopus РИНЦ OpenAlex
Generation by conjugate elements of finite almost simple groups with a sporadic socle
Известия Иркутского государственного университета. Серия: Математика (Bulletin of Irkutsk State University. Series Mathematics). 2024. V.49. P.135-142. DOI: 10.26516/1997-7670.2024.49.135 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jan 18, 2024 |
| Accepted: | Jan 31, 2024 |
| Published print: | Sep 15, 2024 |
| Published online: | Sep 15, 2024 |
Identifiers:
| Web of science: | WOS:001318067700010 |
| Scopus: | 2-s2.0-85203981396 |
| Elibrary: | 69170514 |
| OpenAlex: | W4402528279 |
Citing:
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