Abstract
In Chapter 3 we studied variants of class and unit groups, the ray class groups Clm(K), as well as the associated unit groups Um(K) of units multiplicatively congruent to 1 modulo m. The fundamental application of these notions through the deep theorems of class field theory is the construction of Abelian extensions.
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© 2000 Springer Science+Business Media New York
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Cohen, H. (2000). Variations on Class and Unit Groups. In: Advanced Topics in Computational Number Theory. Graduate Texts in Mathematics, vol 193. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8489-0_7
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DOI: https://doi.org/10.1007/978-1-4419-8489-0_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6419-4
Online ISBN: 978-1-4419-8489-0
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