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- Strong_generating_set abstract "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 be a group of permutations of the set Let be a sequence of distinct integers, such that the pointwise stabilizer of is trivial (i.e., let be a base for ). Define and define to be the pointwise stabilizer of . A strong generating set (SGS) for G relative to the base is a set such that for each such that .The base and the SGS are said to be non-redundant if for .A base and strong generating set (BSGS) for a group can be computed using the Schreier–Sims algorithm.".
- Strong_generating_set wikiPageID "893727".
- Strong_generating_set wikiPageRevisionID "471416404".
- Strong_generating_set hasPhotoCollection Strong_generating_set.
- Strong_generating_set subject Category:Computational_group_theory.
- Strong_generating_set subject Category:Permutation_groups.
- Strong_generating_set type Abstraction100002137.
- Strong_generating_set type Group100031264.
- Strong_generating_set type PermutationGroups.
- Strong_generating_set comment "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 be a group of permutations of the set Let be a sequence of distinct integers, such that the pointwise stabilizer of is trivial (i.e., let be a base for ).".
- Strong_generating_set label "Strong generating set".
- Strong_generating_set sameAs m.03mh21.
- Strong_generating_set sameAs Q7624555.
- Strong_generating_set sameAs Q7624555.
- Strong_generating_set sameAs Strong_generating_set.
- Strong_generating_set wasDerivedFrom Strong_generating_set?oldid=471416404.
- Strong_generating_set isPrimaryTopicOf Strong_generating_set.