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  JP Journal of Mathematical Sciences

Volume 1, Number 1, 2011, Pages 51-59

SYMMETRIC PRESENTATION OF SOME MATHIEU GROUPS (I)

Taleshian and N. Asghari

Abstract

In this paper, we give some presentations of some Mathieu groups by using some control subgroups and progenitors.

 

Keywords and phrases: Mathieu group, control subgroups, symmetric presentation.
Received February 13, 2011

References

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J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups, Oxford, 1985.
[2]
A. M. Hammas, Symmetric presentations of some finite groups, Ph. D. Thesis, University of Birmingham, 1991.
[3]
R. T. Curtis, A. M. Hammas and J. N. Bray, A systematic approach to symmetric presentations. I, Involuntary generators, Math. Proc. Cambridge Philos. Soc. 119 (1996), 23-34.
[4]
M. Schnert et al., GAP, Groups, Algorithms and Programming, version 3 release 4 patchlevel 4, Lehrstuhl D für Mathematik, RWTH Aachen Alice Niemeyer, 1995.
[5]
Nesreen. A. Banaemah, Symmetric presentations of some finite groups, M. Sc., Taibah University, 2009.
 

 

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