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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2015 Volume 12, Pages 1032–1038 (Mi semr651)

This article is cited in 2 papers

Mathematical logic, algebra and number theory

Pronormality of Hall subgroups in almost simple groups

M. N. Nesterov

Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia

Abstract: We prove that the Hall subgroups of almost simple groups are pronormal.

Keywords: Hall subgroup, pronormal subgroup, almost simple group, symplectic group.

UDC: 512.542

MSC: 20D99

Received May 29, 2015, published December 28, 2015

DOI: 10.17377/semi.2015.12.088



© Steklov Math. Inst. of RAS, 2024