V. G. Bardakov, M. V. Neshchadim, “Subgroups, automorphisms, and Lie algebras related to the basis-conjugating automorphism group”, Algebra Logika, 2016, Volume 55, Number 6,Pages <nobr>670–703</nobr>

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Algebra Logika, 2016 Volume 55, Number 6, Pages 670–703 (Mi al770)

This article is cited in 3 papers

Subgroups, automorphisms, and Lie algebras related to the basis-conjugating automorphism group

V. G. Bardakov^abcd, M. V. Neshchadim^ab

^a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
^b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
^c Novosibirsk State Agrarian University, ul. Dobrolyubova 160, Novosibirsk, 630039 Russia
^d Chelyabinsk State University, ul. Brat'ev Kashirinykh 129, Chelyabinsk, 454001 Russia

Abstract: We study some subgroups of the automorphism group of a free group, their factorizations into a semidirect product, automorphism groups, and adjoint Lie algebras.

Keywords: free group, automorphism group, Lie algebra.

UDC: 512.7

Received: 13.06.2015
Revised: 15.10.2015

DOI: 10.17377/alglog.2016.55.602

English version: Algebra and Logic, 2017, 55:6, 436–460

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