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Rank formulae for factorized groups

✍ Scribed by B. Amberg; S. Franciosi; F. Giovanni


Book ID
112472068
Publisher
Springer
Year
1991
Tongue
English
Weight
618 KB
Volume
43
Category
Article
ISSN
0041-5995

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πŸ“œ SIMILAR VOLUMES


Character formulae for classical groups
✍ PΓ©ter E. Frenkel πŸ“‚ Article πŸ“… 2006 πŸ› SP Versita 🌐 English βš– 171 KB

We give formulae relating the value Ο‡ Ξ» (g) of an irreducible character of a classical group G to entries of powers of the matrix g ∈ G. This yields a far-reaching generalization of a result of J.L. Cisneros-Molina concerning the GL 2 case [1].

A Riemann-Hurwitz Formula for thep-Rank
✍ Kay Wingberg πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 486 KB

In this note we prove an analogue of the classical Riemann-Hurwitz formula for the minus part of the p-rank of S-ideal class groups of algebraic CM-fields. The result is an improvement of Kida's formula for the cyclotomic Z p -extension.