Title : ( On Schur Multipliers of Pairs and Triples of Groups with Topological Approach )
Authors: Bibi Hanieh Mirebrahimi Paziquee , Behrooz Mashayekhy Fard ,
Full TextAbstract
In this paper, using a relation between Schur multipliers of pairs and triples of groups, the fundamental group and homology groups of a homotopy pushout of Eilenberg-MacLane spaces, we present among other things some behaviors of Schur multipliers of pairs and triples with respect to free, amalgamated free, and direct products and also direct limits of groups with topological approach
Keywords
, Schur multiplier of a pair of groups; Schur multiplier of a triple of groups; Homology group; Homotopy group, Eilenberg-MacLane space; Homotopy pushout.
@article{paperid:1023475,
author = {Mirebrahimi Paziquee, Bibi Hanieh and Mashayekhy Fard, Behrooz},
title = {On Schur Multipliers of Pairs and Triples of Groups with Topological Approach},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
year = {2011},
volume = {6},
number = {2},
month = {September},
issn = {1735-4463},
pages = {51--65},
numpages = {14},
keywords = {Schur multiplier of a pair of groups; Schur multiplier of a triple
of groups; Homology group; Homotopy group; Eilenberg-MacLane space; Homotopy pushout.},
}
%0 Journal Article
%T On Schur Multipliers of Pairs and Triples of Groups with Topological Approach
%A Mirebrahimi Paziquee, Bibi Hanieh
%A Mashayekhy Fard, Behrooz
%J Iranian Journal of Mathematical Sciences and Informatics
%@ 1735-4463
%D 2011
