Mod ![]() Galois representations of solvable image |
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| Authors: | Hyunsuk Moon Yuichiro Taguchi |
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| Institution: | Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan ; Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan |
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| Abstract: | 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  of fixed dimension  and bounded Artin conductor outside  which have solvable images. Some auxiliary results are also proved. |
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