In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to the presentations of groups and their commutator subgroups. In particular, using these methods, we prove that the commutator subgroup of is free of rank for all
Mirebrahimi, H. and Ghanei, F. (2013). SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES. Journal of Algebraic Systems, 1(1), 45-52. doi: 10.22044/jas.2013.165
MLA
Mirebrahimi, H. , and Ghanei, F. . "SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES", Journal of Algebraic Systems, 1, 1, 2013, 45-52. doi: 10.22044/jas.2013.165
HARVARD
Mirebrahimi, H., Ghanei, F. (2013). 'SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES', Journal of Algebraic Systems, 1(1), pp. 45-52. doi: 10.22044/jas.2013.165
CHICAGO
H. Mirebrahimi and F. Ghanei, "SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES," Journal of Algebraic Systems, 1 1 (2013): 45-52, doi: 10.22044/jas.2013.165
VANCOUVER
Mirebrahimi, H., Ghanei, F. SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES. Journal of Algebraic Systems, 2013; 1(1): 45-52. doi: 10.22044/jas.2013.165