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On 3-Generated 2-Groups Whose Maximal Subgroups are 2-Generated

Author: Crestani Eleonora  

Publisher: Taylor & Francis Ltd

ISSN: 0092-7872

Source: Communications in Algebra, Vol.39, Iss.3, 2011-03, pp. : 881-887

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Abstract

Berkovich and Janko in [1] show that a p-group not 2-generated and all of whose maximal subgroups are 2-generated has nilpotency class at most 2, when p is odd. In this article, we show that when p = 2, the nilpotency class of 2-groups not 2-generated and all of whose maximal subgroups are 2-generated is not bounded.