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Three Lectures on Exceptional Groups

  • J. H. Conway
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 290)

Abstract

The first lecture records certain exceptional properties of the groups L 2(p) and gives a description of the Mathieu group M 12 and some of its subgroups, followed by a digression on the Janko group J 1 of order 175560. With the exception of the Janko group material, all the structure described appears within the Mathieu group M 24, which is the subject of the second lecture, where M 24 is constructed and its subgroups described in some detail. The information on M 24 is then found useful in the third lecture, on the group Co 0 = .0 and its subgroups. An appendix describes the exceptional simple groups.

Keywords

Conjugacy Class Simple Group Maximal Subgroup Proper Subgroup Symmetric Difference 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • J. H. Conway

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