regular group representation

  • 1Regular representation — In mathematics, and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself. ignificance of the regular representation of a groupTo say… …

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  • 2Group ring — This page discusses the algebraic group ring of a discrete group; for the case of a topological group see group algebra, and for a general group see Group Hopf algebra. In algebra, a group ring is a free module and at the same time a ring,… …

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  • 3Group 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… …

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  • 4Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …

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  • 5Représentation des groupes finis — Représentations d un groupe fini En mathématiques, un groupe est une structure algébrique dont la définition est remarquablement simple. Elle consiste en un ensemble muni d une unique opération. Cette opération possède de bonnes propriétés, elle… …

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  • 6Group 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… …

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  • 7Representation theory of finite groups — In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of… …

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  • 8Regular polytope — In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j faces (for all 0≤ j ≤ n , where n is the dimension of the polytope) cells, faces and… …

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  • 9Regular expression — In computing, a regular expression provides a concise and flexible means for matching (specifying and recognizing) strings of text, such as particular characters, words, or patterns of characters. Abbreviations for regular expression include… …

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  • 10Orthogonal group — Group theory Group theory …

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