On the folding of groups
Abstract
The aim of this work is to introduce a new type of folding called a group folding of a group into a special proper subgroup which induced a graph folding into the identity graph of the group.Also we prove that the composition of such foldings is again a group folding.we find some types of groups which have a normal group folding.Finally we discuss the relation between matrices and group folding.Theorems governing these types of foldings are achieved.
Copyright © 2012 M. R. Zeen El-Deen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. R. Zeen El-Deen, On the folding of groups, J. Math. Comput. Sci. 2 (2012), 1218–1232.
BibTeX
@article{El-Deen2012,
author = {Zeen El-Deen, M. R.},
title = {On the folding of groups},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {1218--1232},
doi = {}
}