Peyman Niroomand , Mohsen Parvizi
J. Algebra - , 352, 347–353 - February, 2012 - .
Publication year: 2012


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.