Title of article :
SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES
Author/Authors :
Mirebrahimi، H نويسنده Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran , , Ghanei، F نويسنده Department of pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775 Mashhad, Iran ,
Issue Information :
دوفصلنامه با شماره پیاپی 0 سال 2013
Abstract :
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.
Journal title :
Journal of Algebraic Systems
Journal title :
Journal of Algebraic Systems
