scholarly journals On finite p-groups containing a maximal elementary abelian subgroup of order p2

2011 ◽  
Vol 46 (1) ◽  
pp. 71-77
Author(s):  
Yakov Berkovich
Keyword(s):  
Abelian Subgroup ◽  
Elementary Abelian Subgroup

The free centre-by-metabelian groups

1973 ◽  
Vol 16 (3) ◽  
pp. 294-299 ◽  
Author(s):  
Chander Kanta Gupta
Keyword(s):  
Characteristic Zero ◽  
Abelian Subgroup ◽  
Integral Domain ◽  
Metabelian Group ◽  
Invariant Subgroup ◽  
Elementary Abelian Subgroup ◽  
Finitely Generated ◽  
Metabelian Groups

Let be the free centre-by-metabelian group of rank n. In this paper, our main result is the followingTheorem. For n ≧ 4, Gn has a finite elementary abelian subgroup Hn of rank . More precisely, Hn is a minimal fully invariant subgroup contained in the centre of Gn and Gn/Hn is isomorphic to a group of 3 x 3 matrices over a finitely generated integral domain of characteristic zero.

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