Growth Series of Coxeter Groups and Salem Numbers
β Scribed by W. Parry
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 359 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Random walk on the chambers of hyperplane arrangements is used to define a family of card shuffling measures H W x for a finite Coxeter group W and real x = 0. By algebraic group theory, there is a map from the semisimple orbits of the adjoint action of a finite group of Lie type on its Lie algebra
We prove congruences of shape E kΓΎh E k Γ E h Γ°mod NΓ modulo powers N of small prime numbers p; thereby refining the well-known Kummer-type congruences modulo these p of the normalized Eisenstein series E k : The method uses Serre's theory of Iwasawa functions and p-adic Eisenstein series; it presen
We describe combinatorial techniques to determine the numbers of semisimple conjugacy classes and adjoint orbits with fixed class of centralizers for simply connected finite groups of Lie type.