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Part of the book series: Texts and Readings in Mathematics ((TRM))

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Abstract

This chapter proves the first non-trivial theorem of the subject which is due to Chevalley. Chevalley’s theorem solves the congruence subgroup problem for the multiplicative group of a global field. We follow this up with a generalisation due to Wehrfritz. Finally, it is shown how to use Chevalley’s theorem to solve the congruence subgroup problem for the group of upper triangular, invertible matrices.

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© 2003 Hindustan Book Agency

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Sury, B. (2003). Solvable groups. In: The Congruence Subgroup problem. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-19-4_2

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