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Short Papers
Generation by conjugate elements of finite almost simple groups with a sporadic socle
D. O. Revina, A. V. Zavarnitsineb a Siberian Federal University, Krasnoyarsk, Russian Federation
b Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russian Federation
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.
Keywords:
sporadic group, Fischer group, conjugacy, generators, Baer–Suzuki theorem.
Received: 18.01.2024 Revised: 30.01.2024 Accepted: 31.01.2024
Citation:
D. O. Revin, A. V. Zavarnitsine, “Generation by conjugate elements of finite almost simple groups with a sporadic socle”, Bulletin of Irkutsk State University. Series Mathematics, 49 (2024), 135–142
Linking options:
https://www.mathnet.ru/eng/iigum580 https://www.mathnet.ru/eng/iigum/v49/p135
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Abstract page: | 53 | Full-text PDF : | 16 | References: | 9 |
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