Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Matrix_group> ?p ?o. }
Showing items 1 to 25 of
25
with 100 items per page.
- 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 wikiPageRevisionID "587711725".
- Matrix_group hasPhotoCollection Matrix_group.
- Matrix_group subject Category:Infinite_group_theory.
- Matrix_group subject Category:Matrices.
- Matrix_group type Abstraction100002137.
- Matrix_group type Arrangement107938773.
- Matrix_group type Array107939382.
- Matrix_group type Group100031264.
- Matrix_group type Matrices.
- Matrix_group type Matrix108267640.
- 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 label "Matrixgroep".
- Matrix_group label "矩阵群".
- Matrix_group sameAs Lineární_grupa.
- Matrix_group sameAs Matrixgroep.
- Matrix_group sameAs m.0b9_vs.
- Matrix_group sameAs Q1050120.
- Matrix_group sameAs Q1050120.
- Matrix_group sameAs Matrix_group.
- Matrix_group wasDerivedFrom Matrix_group?oldid=587711725.
- Matrix_group isPrimaryTopicOf Matrix_group.