Proceedings of the American Mathematical Society

Author(s): Hyunsuk Moon; Yuichiro Taguchi
Journal: Proc. Amer. Math. Soc. 129 (2001), 2529-2534.
MSC (2000): Primary 11R29, 11R32
Posted: January 23, 2001
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It is proved that, for a number field

and a prime number

, there exist only finitely many isomorphism classes of continuous semisimple Galois representations of

into $\operatorname{GL}_{d}(\overline{\mathbb{F}}_{p})$ of fixed dimension

and bounded Artin conductor outside

which have solvable images. Some auxiliary results are also proved.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 11R29, 11R32

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: 10.1090/S0002-9939-01-05894-4
PII: S 0002-9939(01)05894-4
Received by editor(s): January 12, 2000
Posted: January 23, 2001
Communicated by: David E. Rohrlich
Copyright of article: Copyright 2001, American Mathematical Society

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