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MATHEMATICS
Finite generated subgroups of hyperbolic groups
A. P. Goryushkin Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
Abstract:
It is proved that finite generated subgroups of infinite index of hyperbolic groups which are not quasi Abelian are complemented with a nontrivial free factor.
Keywords:
hyperbolic group, free product, free product with amalgamation, set of generators, index of a subgroup, normal subgroup.
Received: 02.09.2014
Citation:
A. P. Goryushkin, “Finite generated subgroups of hyperbolic groups”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2014, no. 2(9), 7–10; Bulletin KRASEC. Phys. & Math. Sci., 9:2 (2014), 23–26
Linking options:
https://www.mathnet.ru/eng/vkam36 https://www.mathnet.ru/eng/vkam/y2014/i2/p7
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