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full symmetric group

См. также в других словарях:

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

  • Rubik's Cube group — The Rubik s Cube provides a tangible representation of a mathematical group. The Rubik s Cube group can be thought of as the set of all cube operations with function composition as the group operation. Any set of operations which returns the cube …   Wikipedia

  • Mathieu group — Group theory Group theory …   Wikipedia

  • Lorentz group — Group theory Group theory …   Wikipedia

  • Automorphisms of the symmetric and alternating groups — In group theory, a branch of mathematics, the automorphisms and outer automorphisms of the symmetric groups and alternating groups are both standard examples of these automorphisms, and objects of study in their own right, particularly the… …   Wikipedia

  • Coxeter group — In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry …   Wikipedia

  • Symmetry group — Not to be confused with Symmetric group. This article is about the abstract algebraic structures. For other meanings, see Symmetry group (disambiguation). A tetrahedron can be placed in 12 distinct positions by rotation alone. These are… …   Wikipedia

  • Fischer group — In mathematics, the term Fischer groups usually refers to the three finite groups denoted Fi 22, Fi 23, and Fi 24, all of which are simple groups. They constitute three of the 26 sporadic groups. Sometimes the term encompasses their automorphism… …   Wikipedia

  • Rotation group — This article is about rotations in three dimensional Euclidean space. For rotations in four dimensional Euclidean space, see SO(4). For rotations in higher dimensions, see orthogonal group. In mechanics and geometry, the rotation group is the… …   Wikipedia

  • Binary icosahedral group — In mathematics, the binary icosahedral group is an extension of the icosahedral group I of order 60 by a cyclic group of order 2. It can be defined as the preimage of the icosahedral group under the 2:1 covering homomorphism:mathrm{Sp}(1) o… …   Wikipedia

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