Subgroups, Automorphisms, and Lie Algebras Related to the Basis-Conjugating Automorphism Group


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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.

About the authors

V. G. Bardakov

Sobolev Institute of Mathematics; Novosibirsk State University; Novosibirsk State Agrarian University; Laboratory of Quantum Topology, Chelyabinsk State University

Author for correspondence.
Email: bardakov@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090; ul. Dobrolyubova 160, Novosibirsk, 630039; ul. Brat’ev Kashirinykh 129, Chelyabinsk, 454001

M. V. Neshchadim

Sobolev Institute of Mathematics; Novosibirsk State University

Email: bardakov@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

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