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Published in:
2003 | OriginalPaper | Chapter
Solvable groups
Author : B. Sury
Published in: The Congruence Subgroup problem
Publisher: Hindustan Book Agency
Included in: Professional Book Archive
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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.