Title : ( Solvability of Free Products, Cayley graphs and Complexes )
Authors: Bibi Hanieh Mirebrahimi Paziquee , Fateme Ghanei ,
Full TextAbstract
In this paper, we verify the solvability of free product of nite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to con- struct suitable 2-complexes corresponding to the presentations of groups and their commutator subgroups. In particular, using these methods, we prove that the com- mutator subgroup of Zm*Zn is free of rank (m - 1)(n - 1) for all m; n>= 2.
Keywords
, Simplicial complex, Fundamental group, Covering space, Cayley graph, Solvable group
@article{paperid:1037078,
author = {Mirebrahimi Paziquee, Bibi Hanieh and Ghanei, Fateme},
title = {Solvability of Free Products, Cayley graphs and Complexes},
journal = {Journal of Algebraic Systems},
year = {2013},
volume = {1},
number = {1},
month = {July},
issn = {2345-5128},
pages = {45--52},
numpages = {7},
keywords = {Simplicial complex; Fundamental group; Covering space; Cayley graph; Solvable group},
}
%0 Journal Article
%T Solvability of Free Products, Cayley graphs and Complexes
%A Mirebrahimi Paziquee, Bibi Hanieh
%A Ghanei, Fateme
%J Journal of Algebraic Systems
%@ 2345-5128
%D 2013
