On the Existence of 3-Generator, 3-Relation Finite 2-Groups with a Given (Co)Class |
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| Authors: | Ali-Reza Jamali |
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| Institution: | 1. Faculty of Mathematical Sciences and Computer , Tarbiat Moallem University , Tehran , Iran jamali@tmu.ac.ir |
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| Abstract: | In this article, we show that for any positive integer k there is a 3-generator, 3-relation finite 2-group of class (respectively, coclass) k provided that k ≥ 4 (respectively, k ≥ 5). |
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| Keywords: | Coclass Deficiency zero Finite p-group Metabelian Presentation Schur multiplier |
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