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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Mod $p$ Galois representations of solvable image


Authors: Hyunsuk Moon and Yuichiro Taguchi
Journal: Proc. Amer. Math. Soc. 129 (2001), 2529-2534
MSC (2000): Primary 11R29, 11R32
Published electronically: January 23, 2001
MathSciNet review: 1838373
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Abstract | References | Similar Articles | Additional Information

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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-01-05894-4
PII: S 0002-9939(01)05894-4
Received by editor(s): January 12, 2000
Published electronically: January 23, 2001
Communicated by: David E. Rohrlich
Article copyright: © Copyright 2001 American Mathematical Society