A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group
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DOI: 10.1515/forum-2019-0222
Abstract: Abstract We show that there exists a constant a such that, for every subgroup H of a finite group G, the number of maximal subgroups of G containing H is bounded above by a|G:H|3/2{a\lvert G:H\rvert^{3/2}}.… read more here.
Keywords: maximal systems; group; permutation group; number maximal ... See more keywords