Anderson, Greg; Blasius, Don; Coleman, Robert; Zettler, George On representations of the Weil group with bounded conductor. (English) Zbl 0849.11086 Forum Math. 6, No. 5, 537-545 (1994). Summary: It is shown that there are only finitely many representations of the Weil group of \(\mathbb{Q}\) having given dimension, conductor, and infinity type. In particular, the number of Galois representations of given dimension and conductor is finite. The proof uses class field theory, and a generalization of a well-known theorem of Jordan concerning finite subgroups of \(GL(N)\). Cited in 2 ReviewsCited in 8 Documents MSC: 11R39 Langlands-Weil conjectures, nonabelian class field theory 11R32 Galois theory 11R42 Zeta functions and \(L\)-functions of number fields 11R37 Class field theory Keywords:bounded conductor; representations of the Weil group; Galois representations PDFBibTeX XMLCite \textit{G. Anderson} et al., Forum Math. 6, No. 5, 537--545 (1994; Zbl 0849.11086) Full Text: DOI EuDML