ON AMENABLE SUBGROUPS OF F-GROUPS
https://doi.org/10.22405/2226-8383-2016-17-2-128-136
Abstract
Validity of von Neumann alternative is established for amenability of subgroups of Fgroups. The following equivalence is shown for an arbitrary subgroup G of any F-group: A group G is either amenable or it contains a subgroup isomorphic to a free F2 group of rank 2.
About the Authors
V. G. Durnev
P. G. Demidov Yaroslavl University
Russian Federation
Russian Federation
Dr.Sci. (Phys&Math), Professor, Chief of Department of Computer security
& Mathematical methods in IT, Mathematical Faculty,
150008 Yaroslavl, Soyuznaya Str., 144
O. V. Zetkina
P. G. Demidov Yaroslavl University
Russian Federation
Russian Federation
Cand.Sci. (Economics), dozent, Department of World Economics and Statistics, Economic Faculty,
150008 Yaroslavl, Komsomolskaya Str., 3
A. I. Zetkina
P. G. Demidov Yaroslavl University
Russian Federation
Russian Federation
Zetkina, Alena Igorevna MS student, Department of World Economics and
Statistics, Economic Faculty,
150008 Yaroslavl, Komsomolskaya Str., 3
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For citations:
Durnev V.G., Zetkina O.V., Zetkina A.I. ON AMENABLE SUBGROUPS OF F-GROUPS. Chebyshevskii Sbornik. 2016;17(2):128-136. (In Russ.) https://doi.org/10.22405/2226-8383-2016-17-2-128-136
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