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Some Remarks on the Mathieu Groups

Published online by Cambridge University Press:  20 November 2018

Dietmar Garbe  and
Jens L. Mennicke
Dietmar Garbe
Affiliation:
Braunschweig, Germany Mathematisches Institut A der Technischen Hochschule
Jens L. Mennicke
Affiliation:
Braunschweig, Germany Mathematisches Institut A der Technischen Hochschule
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In the present note we shall study some properties of the Mathieu groups.

We shall give an invariant characterisation of the 2-Sylow subgroups. The 2-Sylow subgroup of M24 is the holomorph of the elementary abelian group of type (1, 1, 1, 1), and for the 2-Sylow subgroups of the other Mathieu groups there are similar characterisations.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 2 , June 1964 , pp. 201 - 212
Copyright
Copyright © Canadian Mathematical Society 1964

References

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