Journal of the Korean Mathematical Society, ( ISI ), Volume (46), No (2), Year (2009-3) , Pages (249-256)

Title : ( SOME PROPERTIES OF TENSOR CENTRE OF GROUPS )

Authors: Mohammad Reza Rajabzadeh Moghaddam ,

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Abstract

Abstract. Let G G be the tensor square of a group G. The set of all elements a in G such that a g = 1⊗, for all g in G, is called the tensor centre of G and denoted by Z⊗(G). In this paper some properties of the tensor centre of G are obtained and the capability of the pair of groups (G,G′) is determined. Finally, the structure of J2 (G) will be described, where J2 (G) is the kernel of the map .

Keywords

, Non-abelian tensor square, tensor centre, relative central extension, capable group.
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@article{paperid:1009758,
author = {Rajabzadeh Moghaddam, Mohammad Reza},
title = {SOME PROPERTIES OF TENSOR CENTRE OF GROUPS},
journal = {Journal of the Korean Mathematical Society},
year = {2009},
volume = {46},
number = {2},
month = {March},
issn = {0304-9914},
pages = {249--256},
numpages = {7},
keywords = {Non-abelian tensor square; tensor centre; relative central extension; capable group.},
}

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%0 Journal Article
%T SOME PROPERTIES OF TENSOR CENTRE OF GROUPS
%A Rajabzadeh Moghaddam, Mohammad Reza
%J Journal of the Korean Mathematical Society
%@ 0304-9914
%D 2009

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