Journal of Algebra, ( ISI ), Volume (352), No (1), Year (2012-1) , Pages (347-353)

Title : ( On the structure of groups whose exterior or tensor square is a p-group )

Authors: Mohsen Parvizi , Peyman Niroomand ,
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Abstract

It is well known that if G is a nilpotent (infinite) p-group of bounded exponent, then G ⊗ G (resp. G ∧ G) is also an (infinite) p-group. We study the converse under some restrictions. We also prove that if G is a finitely generated group with Gab capable, then the finiteness of G ∧ G implies that of G.

Keywords

, Tensor square Exterior square Capability Schur multiplier p, groups Relative Schur multiplier Locally finite groups