TY - JOUR
ID - 87437
TI - The non-abelian tensor product of normal crossed submodules of groups
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Salemkar, Alireza
AU - Fakhr Taha, Tahereh
AD - Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran 19839, Iran.
Y1 - 2020
PY - 2020
VL - 13
IS - 1
SP - 23
EP - 44
KW - crossed module
KW - tensor product
KW - exterior product
DO - 10.29252/cgasa.13.1.23
N2 - 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.
UR - http://cgasa.sbu.ac.ir/article_87437.html
L1 - http://cgasa.sbu.ac.ir/article_87437_55a6a4a828cc8ed4eb375482f9b02c63.pdf
ER -