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A Correction to “The Schur Multipliers of the Mathieu Groups”

Published online by Cambridge University Press:  22 January 2016

N. Burgoyne  and
P. Fong
N. Burgoyne
Affiliation:
Department of Mathematics, University of Illinois, Chicago, Illinois
P. Fong
Affiliation:
Department of Mathematics, University of Illinois, Chicago, Illinois
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In the paper [1] mentioned in the title, the authors attempted to determine the Schur multipliers of the five simple Mathieu groups. In rechecking the calculations, we find that an error was made, leading to incorrect results for M12 and M22. Our purpose here is to compute again the multipliers of M12 and M22, which turn out to be cyclic groups of orders 2 and 6 respectively. The multipliers of M11M23, M24 were originally (and correctly) determined to be trivial.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 31 , January 1968 , pp. 297 - 304
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

[1] Burgoyne, N. and Fong, P., The Schur Multipliers of the Mathieu Groups. Nagoya Math. Journal, Vol. 27 (1966), pp. 733–745. (We refer the reader to this paper for all definitions and any unexplained notation).CrossRefGoogle Scholar
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