On representations of the Weil group with bounded conductor

Greg Anderson, Don Blasius, Robert F. Coleman, George Zettler

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

It is shown that there are only finitely many representations of the Weil group of Q having given dimension, conductor, and infinity type. In particular, the number of Galois representations of given dimension and conductor is finite. The proof uses classfield theory, and a generalization of well-known theorem of Jordan concerning finite subgroups of GL(N).

Original languageEnglish (US)
Pages (from-to)537-546
Number of pages10
JournalForum Mathematicum
Volume6
Issue number6
DOIs
StatePublished - 1994

Bibliographical note

Funding Information:
Partially supported by NSF

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