Abstract
Let F r be a free Lie algebra over the field ℂ. We give an example of some subgroup of Aut F r that is isomorphic to a subgroup of ℂ* but not conjugated with a subgroup of the linear automorphism group. Some questions are formulated.
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References
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Shevelin M. A., “Nonabelian 1-cohomologies and conjugacy of finite subgroups in some extensions,” Siberian Math. J., 53, No. 5, 934–942 (2012).
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Original Russian Text Copyright © 2014 Shevelin M.A.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 6, pp. 1424–1427, November–December, 2014.
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Shevelin, M.A. Automorphism subgroups of the free lie algebra of rank 3. Sib Math J 55, 1161–1164 (2014). https://doi.org/10.1134/S0037446614060196
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DOI: https://doi.org/10.1134/S0037446614060196