Cyclotomic Fields

Yuri F. Bilu, Yann Bugeaud and Maurice Mignotte
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Yuri F. Bilu: University of Bordeaux and CNRS, Institute of Mathematics of Bordeaux
Yann Bugeaud: University of Strasbourg and CNRS, IRMA, Mathematical Institute
Maurice Mignotte: University of Strasbourg and CNRS, IRMA, Mathematical Institute

Chapter Chapter 4 in The Problem of Catalan, 2014, pp 37-48 from Springer

Abstract: Abstract Let m be a positive integer, and let ζ m be a primitive mth root of unity. The number field K m = ℚ ( ζ m ) $$K_{m} = \mathbb{Q}(\zeta _{m})$$ is called the mth cyclotomic field. In this chapter we develop the most basic facts about cyclotomic fields, focusing mainly on the case m = p, an odd prime number.

Keywords: Cyclotomic Field; Cyclotomic Extension; Galois Group; Group Related Classes; Real Class Number (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-10094-4_4

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DOI: 10.1007/978-3-319-10094-4_4

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