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The action of a maximal parabolic subgroup on the transpositions of the Baby Monster

Published online by Cambridge University Press:  20 January 2009

Robert A. Wilson
Robert A. Wilson
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT, U.K.
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Abstract

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We prove a technical result required by Ivanov and Shpectorov in their construction of a non-split extension of 34371 by the Baby Monster simple group.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 1 , February 1994 , pp. 185 - 189
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

REFERENCES

1.Ivanov, A. A. and Shpectorov, S. V., The last flag-transitive P-geometry, Israel J. Math. 82 (1993), 341–362.Google Scholar
2.Parker, R. A., The computer calculation of modular characters—the ‘Meat-axe’, in Computational Group Theory (Atkinson, M., ed. Academic Press, 1984), 267–274.Google Scholar
3.Wilson, R. A., A new construction of the Baby Monster, and its applications, Bull. London Math. Soc., to appear.Google Scholar
4.Wilson, R. A., Some new subgroups of the Baby Monster, Bull. London Math. Soc. 25 (1993), 23–28.Google Scholar