Coxeter Groups: Classification Theorem & Order of F_4

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Explores the classification and construction of Coxeter groups, focusing on exceptional cases and the method of inductive construction.

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Explores Coxeter groups classification, rotation orders, fundamental regions, and geometric equivalence.

Covers the classification of Coxeter groups, crystallographic construction, and Coxeter elements.

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Explores Coxeter groups, word length, simple reflections, and unique elements.

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Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.