Units and 2-class field towers of some multiquadratic number fields Page 1 Turkish Journal
of Mathematics Volume 44 Number 4 Article 28 1-1-2020 Units and 2-class field towers of …

Let $ d $ be an odd square-free integer, $ m\geq 3$ any integer and $ L_ {m, d}:=\mathbb
{Q}(\zeta_ {2^ m},\sqrt {d}) $. In this paper, we shall determine all the fields $ L_ {m, d} …

Let $ k=\mathbb {Q}(\sqrt-m) $ be an imaginary quadratic field. We consider the properties of
capitulation of the p-class group of k in the anti-cyclotomic $\mathbb {Z} _p $-extension of $ k …

Let $ k=\mathbb {Q}(\sqrt {-m}) $ and $ p> 2$ split in $ k $. We prove new properties of the
$\mathbb {Z} _p $-extensions $ K/k $, distinct from the cyclotomic; we do not assume $ K/k …

For a Galois extension with and, we determine the-module structure of. Although there are
an infinite number of (pairwise nonisomorphic) indecomposable-modules, our …

For a prime number p and an integer n we determine the Galois cohomology groups of the
class group of the normal closure of Q (np) to a certain extent and use this information to …

Let k be an imaginary quadratic field, and let p be an odd prime split in k. We analyze some
properties of the Zp-extensions K/k; contrary to many papers, we do not assume the total …

Let k be an imaginary quadratic field, and let p be an odd prime number split in k. We
analyze some properties of arbitrary Zp-extensions K/k. These properties are governed by …

Let k be an imaginary quadratic field, and let p be an odd prime split in k. We analyze some
properties of arbitrary Zp-extensions K/k. These properties are governed by the norm …

− m) be an imaginary quadratic field. We consider the properties of capitulation of the p-
class group of k in the anti-cyclotomic Zp-extension of k, for p= 3; for this, using a new …