set-transitive permutation group

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• Permutation group — In mathematics, a permutation group is a group G whose elements are permutations of a given set M , and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself); the… …   Wikipedia

• Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… …   Wikipedia

• Frobenius group — In mathematics, a Frobenius group is a transitive permutation group on a finite set, such that no non trivial elementfixes more than one point and some non trivial element fixes a point. They are named after F. G. Frobenius. Structure The… …   Wikipedia

• Zassenhaus group — In mathematics, a Zassenhaus group, named after Hans Julius Zassenhaus, is a certain sort of doubly transitive permutation group very closely related to rank 1 groups of Lie type. Definition A Zassenhaus group is a permutation group G on a finite …   Wikipedia

• Mathieu group — Group theory Group theory …   Wikipedia

• Set theory (music) — Example of Z relation on two pitch sets analyzable as or derivable from Z17 (Schuijer 2008, p.99), with intervals between pitch classes labeled for ease of comparison between the two sets and their common interval vector, 212320. Musical set… …   Wikipedia

• Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …   Wikipedia

• Matrix group — In mathematics, a matrix group is a group G consisting of invertible matrices over some field K, usually fixed in advance, with operations of matrix multiplication and inversion. More generally, one can consider n × n matrices over a commutative… …   Wikipedia

• Linear group — In mathematics, a matrix group is a group G consisting of invertible matrices over some field K , usually fixed in advance, with operations of matrix multiplication and inversion. More generally, one can consider n times; n matrices over a… …   Wikipedia

• Higman–Sims group — In the mathematical field of group theory, the Higman–Sims group HS (named after Donald G. Higman and Charles C. Sims) is a finite group of order : 29 · 32 · 53 · 7 · 11: = 44352000.: ≈ 4 · 107.It is a simple group , meaning it does not have any… …   Wikipedia

• Block (group theory) — 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… …   Wikipedia