Title : ( Some Properties of the Schur Multiplier with Algebraic Topological Approach )
Authors: Behrooz Mashayekhy Fard , Bibi Hanieh Mirebrahimi Paziquee ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this paper, using a relationship between the Schur multiplier of a group G, the fundamental group, and the second homology group of the Eilenberg-MacLane space of G, we present new proofs for some famous properties of the Schur multiplier and its structure for the free product and the direct product with an algebraic topological approach. Also, we try to find the Schur multiplier of a free amalgamated product in terms of Schur multipliers of its factors, which is a new result.
Keywords
, Schur Multiplier, Homotopy Group, Homology Group, Eilenberg-MacLane Space
@article{paperid:1009857,
author = {Mashayekhy Fard, Behrooz and Mirebrahimi Paziquee, Bibi Hanieh},
title = {Some Properties of the Schur Multiplier with Algebraic Topological Approach},
journal = {International Journal of Mathematics, Game Theory and Algebra},
year = {2008},
volume = {17},
number = {3},
month = {March},
issn = {1060-9881},
pages = {125--129},
numpages = {4},
keywords = {Schur Multiplier; Homotopy Group; Homology Group; Eilenberg-MacLane Space},
}
%0 Journal Article
%T Some Properties of the Schur Multiplier with Algebraic Topological Approach
%A Mashayekhy Fard, Behrooz
%A Mirebrahimi Paziquee, Bibi Hanieh
%J International Journal of Mathematics, Game Theory and Algebra
%@ 1060-9881
%D 2008
