group of permutations

group of permutations
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The New English-Russian Dictionary of Radio-electronics. . 2005.

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  • Group isomorphism — In abstract algebra, a group isomorphism is a function between two groups that sets up a one to one correspondence between the elements of the groups in a way that respects the given group operations. If there exists an isomorphism between two… …   Wikipedia

  • Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …   Wikipedia

  • Mathieu group — Group theory Group theory …   Wikipedia

  • Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   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

  • group — groupwise, adv. /groohp/, n. 1. any collection or assemblage of persons or things; cluster; aggregation: a group of protesters; a remarkable group of paintings. 2. a number of persons or things ranged or considered together as being related in… …   Universalium

  • 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

  • History of group theory — The history of group theory, a mathematical domain studying groups in their various forms, has evolved in various parallel threads. There are three historical roots of group theory: the theory of algebraic equations, number theory and geometry.… …   Wikipedia

  • Hall's universal group — In algebra, Hall s universal group isa countable locally finite group, say U , which is uniquely characterized by the following properties.* Every finite group G admits a monomorphism to U .* All such monomorphisms are conjugate by inner… …   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

  • Weak order of permutations — In mathematics, the set of permutations on n items can be given the structure of a partial order, called the weak order of permutations. The weak order of permutations forms a lattice.To define this order, consider the items being permuted to be… …   Wikipedia


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