conjugate group element

conjugate group element
сопряжённый элемент группы

English-russian dictionary of physics. 2013.

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  • Conjugate element (field theory) — Conjugate elements redirects here. For conjugate group elements, see Conjugacy class. In mathematics, in particular field theory, the conjugate elements of an algebraic element α, over a field K, are the (other) roots of the minimal polynomial pK …   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

  • Conjugate closure — In group theory, the conjugate closure of a subset S of a group G is the subgroup of G generated by SG, i.e. the closure of SG under the group operation, where SG is the conjugates of the elements of S: SG = {g−1sg | g ∈ G and s ∈ S} The… …   Wikipedia

  • Mathieu group — Group theory Group theory …   Wikipedia

  • conjugate — conjugable /kon jeuh geuh beuhl/, adj. conjugably, adv. conjugative, adj. conjugator, n. v. /kon jeuh gayt /; adj., n. /kon jeuh git, gayt /, v., conjugated, conjugating, adj., n. v.t. 1. Gram. a. to inflect (a verb) …   Universalium

  • conjugate — I. adjective Etymology: Middle English conjugat, from Latin conjugatus, past participle of conjugare to unite, from com + jugare to join, from jugum yoke more at yoke Date: 15th century 1. a. joined together especially in pairs ; coupled b.… …   New Collegiate Dictionary

  • Dihedral group of order 6 — The smallest non abelian group has 6 elements. It is a dihedral group with notation D3 (or D6, both are used) and the symmetric group of degree 3, with notation S3. This page illustrates many group concepts using this group as example. Contents 1 …   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

  • Lorentz group — Group theory Group theory …   Wikipedia

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

  • Dihedral group — This snowflake has the dihedral symmetry of a regular hexagon. In mathematics, a dihedral group is the group of symmetries of a regular polygon, including both rotations and reflections.[1] Dihedr …   Wikipedia


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