Title : ( Some Properties of Finitely Presented Groups with Topological Viewpoints )
Authors: Behrooz Mashayekhy Fard , Bibi Hanieh Mirebrahimi Paziquee ,
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Abstract
In this paper, using some properties of fundamental groups and covering spaces of connected polyhedra and CW-complexes, we present topological proof for some famous theorems about finitely presented groups.
Keywords
, Finitely presented group; Fundamental group; Homotopy group; Homology group; Eilenberg, MacLane space; Covering space; Schur multiplier; Covering group.
@article{paperid:1016933,
author = {Mashayekhy Fard, Behrooz and Mirebrahimi Paziquee, Bibi Hanieh},
title = {Some Properties of Finitely Presented Groups with Topological Viewpoints},
journal = {International Journal of Mathematics, Game Theory and Algebra},
year = {2010},
volume = {18},
number = {6},
month = {January},
issn = {1060-9881},
pages = {511--515},
numpages = {4},
keywords = {Finitely presented group; Fundamental group; Homotopy group;
Homology group; Eilenberg-MacLane space; Covering space; Schur multiplier; Covering group.},
}
%0 Journal Article
%T Some Properties of Finitely Presented Groups with Topological Viewpoints
%A Mashayekhy Fard, Behrooz
%A Mirebrahimi Paziquee, Bibi Hanieh
%J International Journal of Mathematics, Game Theory and Algebra
%@ 1060-9881
%D 2010
