Mod $p$ Galois representations of solvable image
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- by Hyunsuk Moon and Yuichiro Taguchi PDF
- Proc. Amer. Math. Soc. 129 (2001), 2529-2534 Request permission
Abstract:
It is proved that, for a number field $K$ and a prime number $p$, there exist only finitely many isomorphism classes of continuous semisimple Galois representations of $K$ into $\operatorname {GL}_{d}(\overline {\mathbb {F}}_{p})$ of fixed dimension $d$ and bounded Artin conductor outside $p$ which have solvable images. Some auxiliary results are also proved.References
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Additional Information
- Hyunsuk Moon
- Affiliation: Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan
- Address at time of publication: Department of Mathematics, College of Natural Sciences, Seoul National University, Seoul, 151-742, Korea
- Email: moon@math.sci.hokudai.ac.jp, hmoon@math2.snu.ac.kr
- Yuichiro Taguchi
- Affiliation: Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan
- Email: taguchi@math.sci.hokudai.ac.jp
- Received by editor(s): January 12, 2000
- Published electronically: January 23, 2001
- Communicated by: David E. Rohrlich
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2529-2534
- MSC (2000): Primary 11R29, 11R32
- DOI: https://doi.org/10.1090/S0002-9939-01-05894-4
- MathSciNet review: 1838373