Three Lectures on Exceptional Groups

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


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 M24 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 o = · 0 and its subgroups. An appendix describes the exceptional simple groups.


Conjugacy Class Simple Group Maximal Subgroup Symmetric Difference Outer Automorphism 
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© Springer Science+Business Media New York 1999

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  • J. H. Conway

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