ON REPRESENTATIONS OF THE WEIL GROUP WITH BOUNDED CONDUCTOR

Authors
ANDERSON G BLASIUS D COLEMAN R ZETTLER G
Citation
G. Anderson et al., ON REPRESENTATIONS OF THE WEIL GROUP WITH BOUNDED CONDUCTOR, Forum mathematicum, 6(5), 1994, pp. 537-545
Citations number
11
Categorie Soggetti
Mathematics,Mathematics,Mathematics
Journal title
Forum mathematicum → ACNP
ISSN journal
09337741
Volume
6
Issue
5
Year of publication
1994
Pages
537 - 545
Database
ISI
SICI code
0933-7741(1994)6:5<537:OROTWG>2.0.ZU;2-A
Abstract
It is shown that there are only finitely many representations of the W eil group of Q having given dimension, conductor, and infinity type. I n particular, the number of Galois representations of given dimension and conductor is finite. The proof uses classified theory, and a gener alization of well-known theorem of Jordan concerning finite subgroups of GL(N).