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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Hindustan Book Agency
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-93-86279-19-4_2
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-38-8
Online ISBN: 978-93-86279-19-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)