Finiteness of homotopy groups related to the non-abelian tensor product
نویسندگان
چکیده
منابع مشابه
Finiteness of a Non Abelian Tensor Product of Groups
Some su cient conditions for niteness of a generalized non abelian tensor product of groups are established extending Ellis result for compatible actions The non abelian tensor product of groups was introduced by Brown and Loday following works of A Lue and R K Dennis It was de ned for any groups A and B which act on themselves by conjugation y xyx and each of which acts on the other such that ...
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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...
متن کاملFiniteness of a Non-abelian Tensor Product of Groups Nick Inassaridze
Some suucient conditions for niteness of a generalized non-abelian tensor product of groups are established extending Ellis' result for compatible actions. The non-abelian tensor product of groups was introduced by Brown and Loday 2,3] following works of A.Lue 4] and R.K.Dennis 7]. It was deened for any groups A and B which act on themselves by conjugation (x y = xyx ?1) and each of which acts ...
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In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.
متن کاملOn the Exponent of Triple Tensor Product of p-Groups
The non-abelian tensor product of groups which has its origins in algebraic K-theory as well as inhomotopy theory, was introduced by Brown and Loday in 1987. Group theoretical aspects of non-abelian tensor products have been studied extensively. In particular, some studies focused on the relationship between the exponent of a group and exponent of its tensor square. On the other hand, com...
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ژورنال
عنوان ژورنال: Annali di Matematica Pura ed Applicata (1923 -)
سال: 2019
ISSN: 0373-3114,1618-1891
DOI: 10.1007/s10231-019-00855-8