NON-FACTORIZABLE GROUPS

M.R. Darafsheh; G.R. Rezaeezadeh; M.R. Dehghan Koruki

NON-FACTORIZABLE GROUPS

Autori

M.R. Darafsheh University of Tehran - School of Mathematics, Statistics, and Computer Science
G.R. Rezaeezadeh Shahrekord University - Department of Mathematics
M.R. Dehghan Koruki Shahrekord University - Department of Mathematics

Parole chiave:

non-factorizable group, simple group, quasi-simple group

Abstract

A group G is called a factorizable group if there are proper subgroups A and B of G such that G = AB. If G is non-trivial and no such a factorization exists G is called a non-factorizable group. In this paper we will show that if G is a non-factorizable group with Frattini subgroup as a minimal normal subgroup of order pⁿ, (1 ≤ n ≤ 5), where p is a prime number, then G is a quasi-simple group.

Cover of n°31 Italian Journal of Pure and Applied Mathematics

Downloads

PDF (English)

Pubblicato

2013-12-31

Come citare

Darafsheh, M., Rezaeezadeh, G., & Koruki, M. D. (2013). NON-FACTORIZABLE GROUPS. Italian Journal of Pure and Applied Mathematics, 31, 43–48. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6162