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More About the Mathieu Group M22

Published online by Cambridge University Press:  20 November 2018

W. Jónsson  and
J. McKay
W. Jónsson
Affiliation:
McGill University, Montreal, Quebec
J. McKay
Affiliation:
McGill University, Montreal, Quebec
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We assume familiarity with the notation and contents of Conway [2] and Edge [3]. That the Mathieu group is a subgroup of the simple group PSU (6, 22) appears to have been first recognized by Conway and is consequent upon his identification of ·222 with PSU (6, 22). Although we know of no proof of this identification in the literature, several proofs exist in the folklore of the subject: for example, N. Patterson showed one of the authors a proof that depends on ·222 being a Fischer group, hence on consideration of order, isomorphic to PSU (6, 22). There is another proof which relies on McLaughlin's work on rank three groups.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 5 , 01 October 1976 , pp. 929 - 937
Copyright
Copyright © Canadian Mathematical Society 1976

References

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