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infinite classical group

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  • Classical group — For the book by Weyl, see The Classical Groups. Lie groups …   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 of Lie type — In mathematics, a group of Lie type G(k) is a (not necessarily finite) group of rational points of a reductive linear algebraic group G with values in the field k. Finite groups of Lie type form the bulk of nonabelian finite simple groups.… …   Wikipedia

  • Group 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,… …   Wikipedia

  • Orthogonal group — Group theory Group theory …   Wikipedia

  • Infinite descent — In mathematics, a proof by infinite descent is a particular kind of proof by contradiction which relies on the fact that the natural numbers are well ordered. One typical application is to show that a given equation has no solutions. Assuming a… …   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

  • Projective unitary group — In mathematics, the projective unitary group PU( n ) is the quotient of the unitary group U( n ) by the right multiplication of its center, U(1), embedded as scalars.Abstractly, it is the isometry group of complex projective space, just as the… …   Wikipedia

  • Simple group — In mathematics, a simple group is a group which is not the trivial group and whose only normal subgroups are the trivial group and the group itself. A group that is not simple can be broken into two smaller groups, a normal subgroup and the… …   Wikipedia

  • Circle group — For the jazz group, see Circle (jazz band). Lie groups …   Wikipedia

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