Subgroups, Automorphisms, and Lie Algebras Related to the Basis-Conjugating Automorphism Group
- Authors: Bardakov V.G.1,2,3,4, Neshchadim M.V.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Novosibirsk State Agrarian University
- Laboratory of Quantum Topology, Chelyabinsk State University
- Issue: Vol 55, No 6 (2017)
- Pages: 436-460
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234012
- DOI: https://doi.org/10.1007/s10469-017-9417-x
- ID: 234012
Cite item
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
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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