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(Cyclic) subgroup separability of HNN and split extensions
Authors:Firat Ateş  A. Sinan Çevik
Affiliation:(1) Fen-Edebiyat Fakultesi Matematik Bolumu, Balikesir Universitesi, TR-10100 Balikesir, Turkey
Abstract:This work has been divided in two parts. In the first part we give a sufficient conditions on an HNN extension of a free group to be cyclic subgroup seperable. In the second part we define just subgroup separability on a split extension of special groups which is actually on holomorph.
Keywords:separability  residually finite  HNN and split extensions
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