Manifolds counting and class field towers
โ Scribed by Mikhail Belolipetsky; Alexander Lubotzky
- Book ID
- 113421919
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 241 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Fix a prime l. In this paper, we explore various senses in which the ramification in an infinite l-extension of number fields can be "small." In particular, (1) we construct infinitely many pairs of primes p q (distinct from l) such that admits an infinite l-extension unramified outside p q ; and (2
Let p be a fixed prime number. By a p-extension of fields, we understand a Galois extension with pro-p Galois group. If k is a number field, let k ลฝฯฑ. be the maximal unramified p-extension of k s k ลฝ0. , and put ลฝ ลฝฯฑ. . ร ลฝ i. 4 ลฝ . ลฝ 0 .