Coxeter group

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

(mathematics, geometry, group theory) 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.

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The structure of a Coxeter group governs the symmetries of many tilings and polytopes and connects to problems in algebra and geometry.

詳細

意味（1）

(mathematics, geometry, group theory) 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.

詳細

Coxeter groups （ plural ）