Abelian subgroup separability of certain generalized free products of free or finitely generated nilpotent groups |
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| Authors: | Wei Zhou Goansu Kim |
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| Institution: | 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, PR China;2. Yeungnam University, Kyongsan, 712-749, Republic of Korea |
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| Abstract: | In this paper we prove that certain generalized free products of abelian subgroup separable groups, amalgamating an infinite cyclic subgroup, are abelian subgroup separable. Applying this, we derive that tree products of free groups or finitely generated nilpotent groups, amalgamating infinite cyclic subgroups, are abelian subgroup separable. |
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| Keywords: | Primary 20E26 20E06 secondary 20F10 20F18 |
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