%0 Journal Article
%T The non-abelian tensor product of normal crossed submodules of groups
%J Categories and General Algebraic Structures with Applications
%I Shahid Beheshti University
%Z 2345-5853
%A Salemkar, Alireza
%A Fakhr Taha, Tahereh
%D 2020
%\ 07/01/2020
%V 13
%N 1
%P 23-44
%! The non-abelian tensor product of normal crossed submodules of groups
%K crossed module
%K tensor product
%K exterior product
%R 10.29252/cgasa.13.1.23
%X In this article, the notions of non-abelian tensor and exterior products of two normal crossed submodules of a given crossed module of groups are introduced and some of their basic properties are established. In particular, we investigate some common properties between normal crossed modules and their tensor products, and present some bounds on the nilpotency class and solvability length of the tensor product, provided such information is given at least on one of the normal crossed submodules.
%U https://cgasa.sbu.ac.ir/article_87437_55a6a4a828cc8ed4eb375482f9b02c63.pdf