Vogel, Denis (2005) On the Galois group of 2-extensions with restricted ramification. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 581. pp. 117-150. ISSN 0075-4102,
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In this paper we study the relation structure of the Galois group of the maximal outside a given set S of primes unramified 2-extension Q(S)(2) of Q and of the Galois group of the 2-class field tower of a quadratic number field. We complete Morishita's calculations of the triple Milnor invariants for Q(S)(2) and obtain the relation structure of G(Q(S)(2)Q) modulo the fourth step of the Zassenhaus filtration. We use this result in order to deduce information on the Galois group of the 2-class field tower of a quadratic number field.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MASSEY PRODUCTS; INVARIANTS; TOWERS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Jun 2021 14:02 |
| Last Modified: | 02 Jun 2021 14:02 |
| URI: | https://pred.uni-regensburg.de/id/eprint/36726 |
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