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Mathematical logic, algebra and number theory
Automorphisms of nonsplit coverings of $PSL_2(q)$ in odd characteristic dividing $q-1$
Andrei V. Zavarnitsine Sobolev Institute of Mathematics, 4, Koptyug ave., Novosibirsk, 630090, Russia
Abstract:
We classify the nonsplit extensions of elementary abelian $p$-groups by $\operatorname{PSL}_2(q)$, with odd $p$ dividing $q-1$, for an irreducible induced action, calculate the relevant low-dimensional cohomology groups, and describe the automorphism groups of such extensions.
Received March 31, 2022, published May 17, 2022
Citation:
Andrei V. Zavarnitsine, “Automorphisms of nonsplit coverings of $PSL_2(q)$ in odd characteristic dividing $q-1$”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 285–291
Linking options:
https://www.mathnet.ru/eng/semr1499 https://www.mathnet.ru/eng/semr/v19/i1/p285
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Abstract page: | 79 | Full-text PDF : | 20 | References: | 27 |
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