Ambig Ideal Classes and Genera in Regular Kummer Fields

David Hilbert

Chapter 32 in The Theory of Algebraic Number Fields, 1998, pp 269-288 from Springer

Abstract: Abstract Let l be a regular odd prime number; let k(ζ) be the regular cyclotomic field determined by ζ = e 2 πi/l . A set E of units of k(ζ) which contains the l-th powers of all the units of k(ζ) and is closed under the formation of products and quotients is called a unit bundler 1 of the cyclotomic field k(ζ).

Date: 1998
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DOI: 10.1007/978-3-662-03545-0_32

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