OD-characterization of $S_4(4)$ and its group of automorphisms

Subject Areas : Group theory

P. Nosratpour ¹

1 - Department of mathematics, Ilam Branch, Islamic Azad university, Ilam, Iran

Received: 2013-01-01 Accepted : 2013-01-01 Published : 2013-09-01

Keywords:

References:

[1] M. Akbari and A. R. Moghaddamfar, Simple groups which are 2-fold OD-characterizable, Bulletin of the Malaysian Mathematical Sciences Society, 35(1), 65-77(2012).

[2] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, Atlas of Finite Groups, Clarendon Press, Oxford 1985.

160 P. Nosratpour / J. Linear. Topological. Algebra. 02(03) (2013) 155-160.

[3] G. Y. Chen, On structure of Frobenius and 2-Frobenius group, Jornal of Southwest China Normal University, 20(5), 485-487(1995).(in Chinese)

[4] M. R. Darafsheh, A. R. Moghaddamfar, and A. R. Zokayi, A characterization of nite simple groups by degrees of vertices of their prime graphs, Algebra Colloquium, 12(3), 431-442(2005).

[5] D. Gorenstein, Finite Groups, New York, Harpar and Row, (1980).

[6] B. Huppert, Endlichen Gruppen I, Springer-Verlag,(1988).

[7] D. S. Passman, Permutation Groups, New York, Benjamin Inc., (1968).

[8] J. S. Williams, Prime graph components of nite groups, J. Alg. 69, No.2,487-513(1981).

[9] A. V. Zavarnitsine, Finite simple groups with narrow prime spectrum, Siberian Electronic Math. Reports. 6, 1-12(2009).