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Tag Archives: maximal subgroups
The Wall conjecture extended
Tim Wall boldly conjectured in 1961 that the number of maximal subgroups of a finite group G is at most |G|−1. (This would be best possible, since the the elementary abelian 2-group attains this bound.) He proved that the conjecture … Continue reading
The symmetric group, 12
This instalment is about the maximal subgroups of the symmetric group, and the O’Nan–Scott Theorem. There are two versions of this theorem, one of which is sometimes called the Aschbacher–O’Nan–Scott Theorem. One is about maximal subgroups of the symmetric group … Continue reading
Posted in exposition, symmetric group
Tagged maximal subgroups, O'Nan-Scott theorem, permutation group, symmetric group
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