The non-abelian tensor product of normal crossed submodules of groups | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 3، دوره 13، شماره 1، مهر 2020، صفحه 23-44 اصل مقاله (507.71 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.29252/cgasa.13.1.23 | ||
| نویسندگان | ||
| Alireza Salemkar* ؛ Tahereh Fakhr Taha | ||
| Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran 19839, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Crossed module؛ tensor product؛ exterior product | ||
| مراجع | ||
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