Fundamental relation and automorphism group of very thin Hv-groups |
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| Authors: | M Hamidi A R Ashrafi |
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| Institution: | 1. Department of Mathematics, Faculty of Mathematics, Payame Noor University (PNU), Tehran, IranM.Hamidi@pnu.ac.ir;3. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran |
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| Abstract: | The purpose of this paper is computing the fundamental relations and automorphism groups of very thin Hv-groups. In this regards, we first investigate some basic properties of Hv-groups and then we show that any given group is isomorphic to the fundamental group of a nontrivial Hv-group. The main properties of very thin Hv-groups are also investigated and it is proved that every finite very thin Hv-group is proper. |
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| Keywords: | Automorphism group fundamental relation Hv-groups |
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