N-barely transitive permutation groups
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DOI: 10.1007/s11587-021-00608-x
Abstract: A group G is an N-barely transitive group (NBT-group) if G acts on an infinite set transitively and faithfully and all proper normal subgroups of G have finite orbits. We investigate the main properties and… read more here.
Keywords: transitive permutation; permutation groups; barely transitive; group ... See more keywords
A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group
Sign Up to like & getrecommendations! Published in 2020 at "Forum Mathematicum"
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