Revision as of 11:35, 9 October 2019 edit Delio.mugnolo (talk \| contribs) 55 edits No edit summary ← Previous edit		Revision as of 04:42, 4 June 2020 edit undo 2601:8c0:4281:4c40:2977:baef:64f6:3c3a (talk) →Signed permutation group: D_n is not in general the kernel of the determinant - it is defined by having an even number of negative elements. Next edit →
Line 48: * It is the [[Coxeter group]] <math>B_n</math>, and has order <math>2^nn!</math>. * It is the symmetry group of the [[hypercube]] and (dually) of the [[cross-polytope]]. * Its index 2 subgroup of matrices with determinant 1equal to their underlying (unsigned) permutation is the Coxeter group <math>D_n</math> and is the symmetry group of the [[demihypercube]]. * It is a subgroup of the [[orthogonal group]].

Generalized permutation matrix: Difference between revisions