NON-FACTORIZABLE GROUPS
Keywords:
non-factorizable group, simple group, quasi-simple groupAbstract
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.
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Published
2013-12-31
How to Cite
Darafsheh, M., Rezaeezadeh, G., & Koruki, M. D. (2013). NON-FACTORIZABLE GROUPS. Italian Journal of Pure and Applied Mathematics, 31, 43–48. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6162
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Articoli - Forum Editrice
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Copyright (c) 2013 M.R. Darafsheh, G.R. Rezaeezadeh, M.R. Dehghan Koruki
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
