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 C o 0 = · 0 and its subgroups. An appendix describes the exceptional simple groups.KeywordsConjugacy ClassSimple GroupMaximal SubgroupProper SubgroupSymmetric DifferenceThese 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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