Structure of k-Closures of Finite Nilpotent Permutation Groups
نویسندگان
چکیده
Let G be a permutation group of set ? and k positive integer. The k-closure is the greatest (w.r.t. inclusion) subgroup G(k) in Sym(?) which has same orbits as under componentwise action on ?k. It proved that finite nilpotent coincides with direct product k-closures all its Sylow subgroups.
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ژورنال
عنوان ژورنال: Algebra and Logic
سال: 2021
ISSN: ['1573-8302', '0002-5232']
DOI: https://doi.org/10.1007/s10469-021-09637-9