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 language | English (US) |
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Pages (from-to) | 537-546 |
Number of pages | 10 |
Journal | Forum Mathematicum |
Volume | 6 |
Issue number | 6 |
DOIs | |
State | Published - 1994 |
Bibliographical note
Funding Information:Partially supported by NSF