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This article is cited in 2 scientific papers (total in 2 papers)
Mathematical logic, algebra and number theory
Embedding central extensions of simple linear groups into wreath products
Andrei V. Zavarnitsine Sobolev Institute of Mathematics, 4, Koptyug av. 630090, Novosibirsk, Russia
Abstract:
We find a criterion for the embedding of a nonsplit central extension of $\mathrm{PSL}_n(q)$ with kernel of prime order into the permutation wreath product that corresponds to the action on the projective space.
Keywords:
finite simple groups, permutation module, central cover, group cohomology.
Received February 6, 2016, published May 12, 2016
Citation:
Andrei V. Zavarnitsine, “Embedding central extensions of simple linear groups into wreath products”, Sib. Èlektron. Mat. Izv., 13 (2016), 361–365
Linking options:
https://www.mathnet.ru/eng/semr680 https://www.mathnet.ru/eng/semr/v13/p361
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