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

Authors

  • Hadi Jafari Department of Mathematics, Islamic Azad University, Mashhad-Branch ,Mashhad, Iran

DOI:

https://doi.org/10.30495/jme.v9i0.276

Keywords:

Non-abelian tensor product, Schur multiplier

Abstract

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.

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Published

2015-06-28

Issue

Vol. 9

Section

Vol. 9, No. 2, (2015)

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