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- Matrix_group abstract "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 ring R. (The size of the matrices is restricted to be finite, as any group can be represented as a group of infinite matrices over any field.) A linear group is an abstract group that is isomorphic to a matrix group over a field K, in other words, admitting a faithful, finite-dimensional representation over K.Any finite group is linear, because it can be realized by permutation matrices using Cayley's theorem. Among infinite groups, linear groups form an interesting and tractable class. Examples of groups that are not linear include all "sufficiently large" groups; for example, the infinite symmetric group of permutations of an infinite set.".
- Matrix_group wikiPageExternalLink l059250.htm.
- Matrix_group wikiPageID "3983656".
- Matrix_group wikiPageLength "6445".
- Matrix_group wikiPageOutDegree "36".
- Matrix_group wikiPageRevisionID "619568031".
- Matrix_group wikiPageWikiLink American_Mathematical_Society.
- Matrix_group wikiPageWikiLink Braid_group.
- Matrix_group wikiPageWikiLink Category:Infinite_group_theory.
- Matrix_group wikiPageWikiLink Category:Matrices.
- Matrix_group wikiPageWikiLink Cayleys_theorem.
- Matrix_group wikiPageWikiLink Character_theory.
- Matrix_group wikiPageWikiLink Classical_Lie_group.
- Matrix_group wikiPageWikiLink Classical_group.
- Matrix_group wikiPageWikiLink Classification_of_finite_simple_groups.
- Matrix_group wikiPageWikiLink Commutative.
- Matrix_group wikiPageWikiLink Commutative_property.
- Matrix_group wikiPageWikiLink Commutative_ring.
- Matrix_group wikiPageWikiLink Faithful_representation.
- Matrix_group wikiPageWikiLink Field_(mathematics).
- Matrix_group wikiPageWikiLink Finite_group.
- Matrix_group wikiPageWikiLink General_linear_group.
- Matrix_group wikiPageWikiLink Group_(mathematics).
- Matrix_group wikiPageWikiLink Group_action.
- Matrix_group wikiPageWikiLink Group_of_Lie_type.
- Matrix_group wikiPageWikiLink Group_of_units.
- Matrix_group wikiPageWikiLink Group_representation.
- Matrix_group wikiPageWikiLink Group_theory.
- Matrix_group wikiPageWikiLink Groups_of_Lie_type.
- Matrix_group wikiPageWikiLink Homomorphism.
- Matrix_group wikiPageWikiLink Homomorphisms.
- Matrix_group wikiPageWikiLink Infinite_group_theory.
- Matrix_group wikiPageWikiLink Invertible_matrix.
- Matrix_group wikiPageWikiLink List_of_finite_simple_groups.
- Matrix_group wikiPageWikiLink List_of_simple_Lie_groups.
- Matrix_group wikiPageWikiLink List_of_transitive_finite_linear_groups.
- Matrix_group wikiPageWikiLink Mathematics.
- Matrix_group wikiPageWikiLink Matrix_multiplication.
- Matrix_group wikiPageWikiLink Permutation_group.
- Matrix_group wikiPageWikiLink Permutation_matrices.
- Matrix_group wikiPageWikiLink Permutation_matrix.
- Matrix_group wikiPageWikiLink Ring_(mathematics).
- Matrix_group wikiPageWikiLink Square_matrix.
- Matrix_group wikiPageWikiLink Symmetric_group.
- Matrix_group wikiPageWikiLink Table_of_Lie_groups.
- Matrix_group wikiPageWikiLink Unit_(ring_theory).
- Matrix_group wikiPageWikiLinkText "Matrix group".
- Matrix_group wikiPageWikiLinkText "matrix group".
- Matrix_group hasPhotoCollection Matrix_group.
- Matrix_group wikiPageUsesTemplate Template:Cite_book.
- Matrix_group wikiPageUsesTemplate Template:Main.
- Matrix_group wikiPageUsesTemplate Template:Reflist.
- Matrix_group subject Category:Infinite_group_theory.
- Matrix_group subject Category:Matrices.
- Matrix_group hypernym G.
- Matrix_group type Device.
- Matrix_group type Matrix.
- Matrix_group comment "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 ring R.".
- Matrix_group label "Matrix group".
- Matrix_group sameAs Lineární_grupa.
- Matrix_group sameAs 行列群.
- Matrix_group sameAs Matrixgroep.
- Matrix_group sameAs m.0b9_vs.
- Matrix_group sameAs Q1050120.
- Matrix_group sameAs Q1050120.
- Matrix_group sameAs 矩阵群.
- Matrix_group wasDerivedFrom Matrix_group?oldid=619568031.
- Matrix_group isPrimaryTopicOf Matrix_group.