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- Block_(permutation_group_theory) abstract "In mathematics and group theory, a block system for the action of a group G on a set X is a partition of X that is G-invariant. In terms of the associated equivalence relation on X, G-invariance means that x ~ y implies gx ~ gy for all g in G and all x, y in X. The action of G on X determines a natural action of G on any block system for X.Each element of the block system is called a block. A block can be characterized as a subset B of X such that for all g in G, eithergB = B (g fixes B) orgB ∩ B = ∅ (g moves B entirely).If B is a block then gB is a block for any g in G. If G acts transitively on X, then the set {gB | g ∈ G} is a block system on X.The trivial partitions into singleton sets and the partition into one set X itself are block systems. A transitive G-set X is said to be primitive if contains no nontrivial partitions.".
- Block_(permutation_group_theory) wikiPageID "3769397".
- Block_(permutation_group_theory) wikiPageRevisionID "455085829".
- Block_(permutation_group_theory) hasPhotoCollection Block_(permutation_group_theory).
- Block_(permutation_group_theory) subject Category:Permutation_groups.
- Block_(permutation_group_theory) type Abstraction100002137.
- Block_(permutation_group_theory) type Group100031264.
- Block_(permutation_group_theory) type PermutationGroups.
- Block_(permutation_group_theory) comment "In mathematics and group theory, a block system for the action of a group G on a set X is a partition of X that is G-invariant. In terms of the associated equivalence relation on X, G-invariance means that x ~ y implies gx ~ gy for all g in G and all x, y in X. The action of G on X determines a natural action of G on any block system for X.Each element of the block system is called a block.".
- Block_(permutation_group_theory) label "Block (permutation group theory)".
- Block_(permutation_group_theory) sameAs m.09_0dh.
- Block_(permutation_group_theory) sameAs Q4927124.
- Block_(permutation_group_theory) sameAs Q4927124.
- Block_(permutation_group_theory) sameAs Block_(permutation_group_theory).
- Block_(permutation_group_theory) wasDerivedFrom Block_(permutation_group_theory)?oldid=455085829.
- Block_(permutation_group_theory) isPrimaryTopicOf Block_(permutation_group_theory).