Finite permutation groups with few orbits under the action on the power set
نویسندگان
چکیده
We study the orbits under natural action of a permutation group G≤Sn on powerset
منابع مشابه
Counting the Orbits on Finite Simple Groups under the Action of the Automorphism Group - Suzuki Groups vs. Linear Groups
We determine the number ω(G) of orbits on the (finite) group G under the action of Aut(G) for G ∈ {PSL(2, q),SL(2, q),PSL(3, 3),Sz(2)}, covering all of the minimal simple groups as well as all of the simple Zassenhaus groups. This leads to recursive formulae on the one hand, and to the equation ω(Sz(q)) = ω(PSL(2, q)) + 2 on the other. MSC 20E32, 20F28, 20G40, 20-04
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2021
ISSN: ['0035-7596', '1945-3795']
DOI: https://doi.org/10.1216/rmj.2021.51.1553