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| Also defines: |
Coxeter group, Coxeter matrix, Cartan matrix, Weyl group, exchange condition, length of Weyl group |
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Cross-references: label, semi-direct product, wreath product, isomorphism, terms, symmetric group, Euclidean space, isomorphic, effective, subgroup, clear, fixed, mirror image, vector, linear transformation, orthogonal transformations, Euclidean vector space, crystallographic, theory, BN-pair, Lie groups, Lie algebra, reduced word, generated by, group generated by, properties, necessary, analysis, word, involutions, length, dihedral group, elements, alternating group, generators, products, orders, adjacent, symmetry, inner product, vector space, real, finite dimensional, hyperplanes, reflections, types, Bourbaki, groups, direct product, irreducible, finite, adjacency matrix, graph, Dynkin diagrams, information, matrix, exponents, integers, presentation, finitely generated group
There are 6 references to this entry.
This is version 9 of Coxeter group, born on 2006-01-21, modified 2007-04-12.
Object id is 7570, canonical name is CoxeterGroup.
Accessed 6416 times total.
Classification:
| AMS MSC: | 20F55 (Group theory and generalizations :: Special aspects of infinite or finite groups :: Reflection and Coxeter groups) |
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Pending Errata and Addenda
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