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Class Number Relations from a Computational Point of View

✍ Scribed by Wieb Bosma; Bart DE Smit


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
353 KB
Volume
31
Category
Article
ISSN
0747-7171

No coin nor oath required. For personal study only.

✦ Synopsis


Brauer and Kuroda showed in the fifties how in a Galois extension of number fields, relations between permutation characters of subgroups provide relations between invariants, such as the discriminant, class number and regulator, of the corresponding intermediate fields. In this paper we investigate various computational aspects of these relations, we present examples, and we give a method to automatically produce class number formulas.


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