Finding 47:23 in the Baby Monster

Finding 47:23 in the Baby Monster

In this paper we describe methods for finding very small maximal subgroups of very large groups, with particular application to the subgroup 47:23 of the Baby Monster. This example is completely intractable by standard or naïve methods. The example of finding 31:15 inside the Thompson group $\text{T...

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Veröffentlicht in:LMS journal of computation and mathematics 2016, Vol.19 (1), p.229-234
Hauptverfasser: Bray, John N., Parker, Richard A., Wilson, Robert A.
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Parker, Richard A.
Wilson, Robert A.
description In this paper we describe methods for finding very small maximal subgroups of very large groups, with particular application to the subgroup 47:23 of the Baby Monster. This example is completely intractable by standard or naïve methods. The example of finding 31:15 inside the Thompson group $\text{Th}$ is also discussed as a test case.
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