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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 6, Pages 1424–1427 (Mi smj2616)  
This article is cited in 1 scientific paper (total in 1 paper)

Automorphism subgroups of the free lie algebra of rank 3

M. A. Shevelin
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Abstract: Let $F_r$ be a free Lie algebra over the field $\mathbb C$. We give an example of some subgroup of $\mathrm{Aut}F_r$ that is isomorphic to a subgroup of $\mathbb C^*$ but not conjugated with a subgroup of the linear automorphism group. Some questions are formulated.
Keywords: $1$-cocycle, split extension, conjugacy classes of subgroups, free Lie algebra, automorphism group.
Received: 01.09.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 6, Pages 1161–1164
DOI: https://doi.org/10.1134/S0037446614060196
Bibliographic databases:
Document Type: Article
UDC: 512.554.33+512.554.37
Language: Russian
Citation: M. A. Shevelin, “Automorphism subgroups of the free lie algebra of rank 3”, Sibirsk. Mat. Zh., 55:6 (2014), 1424–1427; Siberian Math. J., 55:6 (2014), 1161–1164
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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