Strong generating set

id: strong-generating-set-322-6487401
title: Strong generating set
text: In abstract algebra, especially in the area of group theory, a strong generating set of a permutation group is a generating set that clearly exhibits the permutation structure as described by a stabilizer chain. A stabilizer chain is a sequence of subgroups, each containing the next and each stabilizing one more point. Let G ≤ S n be a group of permutations of the set { 1 , 2 , … , n } . Let be a sequence of distinct integers, β i ∈ { 1 , 2 , … , n } , such that the pointwise stabilizer of B is
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original url: https://en.wikipedia.org/wiki/Strong_generating_set
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date modified: 2024-01-13T18:47:53Z
main entity: {"identifier":"Q7624555","url":"https://www.wikidata.org/entity/Q7624555"}
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