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On Subgroups of M24. II: The Maximal Subgroups of M24
Transactions of the American Mathematical Society
Vol. 167 (May, 1972), pp. 29-47
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1996124
Page Count: 19
You can always find the topics here!Topics: Mathematical transitivity, Holomorphs, Meetings, Isomorphism, Mathematical theorems, Mathematics
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In this paper we effect a systematic study of transitive subgroups of M24, obtaining 5 transitive maximal subgroups of M24 of which one is primitive and four imprimitive. These results, along with the results of the paper, On subgroups of M24. I, enable us to enumerate all the maximal subgroups of M24. There are, up to conjugacy, nine of them. The complete list includes one more in addition to those listed by J. A. Todd in his recent work on M24. The two works were done independently employing completely different methods.
Transactions of the American Mathematical Society © 1972 American Mathematical Society