P. Niroomand , M. Parvizi
Fourth Group Theory Conference, Esphahan - , , - March, 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.