On The Relative Non-Abelian Tensor Product of a Pair of Prime Power Group

Hadi Jafari


Let (G,N) be a pair of prime power groups. We give a new upper bound for |N\otimes G|, where N\otimes G is the non-abelian tensor product of N and G. Among other results, the relative Schur multiplier of free product  of groups is determined under some conditions.


Non-abelian tensor product, Schur multiplier

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