ON OD-CHARACTERIZABILITY OF A CERTAIN ALTERNATING  AND SYMMETRIC GROUP

A. Mahmiani; M.R.  Darafsheh

ON OD-CHARACTERIZABILITY OF A CERTAIN ALTERNATING AND SYMMETRIC GROUP

Authors

A. Mahmiani Islamic Azad University - Department of Mathematics
M.R. Darafsheh University of Tehran - School of Mathematics

Keywords:

prime graph, characterization, alternating groups, symmetric groups

Abstract

In this paper we will show that if G is a finite group with the same order and degree pattern as the alternating group on 27 letters, then G is isomorphic to A27. Furthermore we will show that there are three non-isomorphic finite groups with the same order and degree pattern as the symmetric group on 27 letters.

Cover of n°32 Italian Journal of Pure and Applied Mathematics

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Published

2014-08-22

How to Cite

Mahmiani, A., & Darafsheh, M. (2014). ON OD-CHARACTERIZABILITY OF A CERTAIN ALTERNATING AND SYMMETRIC GROUP. Italian Journal of Pure and Applied Mathematics, 32, 7–14. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6241

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Issue

N°32 - August 2014

Section

Articoli - Forum Editrice

License

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)