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Arithmetically Defined Representations of Groups of TypeSL(2, Fq)

✍ Scribed by Imke Rust

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 412 KB
Volume: 4
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.1998.0220

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✦ Synopsis

We consider a group G lying between the special and the general linear group of order 2 over the finite field % O . A representation which arises from a natural action of G on a quotient graph of the Bruhat-Tits tree of G¸(2, % O (( ))) is described and its irreducible components are determined.

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