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Coxeter groups

Coxeter groups is the plural of Coxeter group.

Meaning of Coxeter group

Noun

Coxeter group (plural Coxeter groups)

  1. Any of a class of groups whose finite cases are precisely the finite reflection groups (including the symmetry groups of polytopes), but which are more varied in their infinite cases, and whose range of application encompasses various areas of mathematics.
    • We may ask in general which Coxeter groups arise as subgroups of a given Coxeter group. This question is of course far too general. However, there are Coxeter groups which arise canonically as subgroups of a given Coxeter group.1993, B. Mühlherr, “Coxeter groups in Coxeter groups”, in Albrecht Beutelspacher, F. de Clerck, editors, Finite Geometries and Combinatorics, page 277

Questions about Coxeter groups

What is Coxeter groups the plural of?
Coxeter groups is the plural of Coxeter group.

Words near Coxeter groups in the dictionary

  1. Coxeter diagram
  2. Coxeter diagrams
  3. Coxeter graph
  4. Coxeter graphs
  5. Coxeter group
  6. Coxeter groups
  7. Coxeter matrix
  8. Coxeter matrixes
  9. Coxeter-Dynkin diagram
  10. Coxeter-Dynkin diagrams
  11. Coxeters

Source and license

Adapted from Wiktionary: Coxeter groups (page history and authors); Coxeter group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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