relative quadratic extensions
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Class groups under relative quadratic extensions

Acta Arithmetica ◽

10.4064/aa150-4-5 ◽

2011 ◽

Vol 150 (4) ◽

pp. 399-414

Author(s):

Qin Yue

Keyword(s):

Class Groups ◽

Quadratic Extensions ◽

Relative Quadratic Extensions

L-values and the Fitting ideal of the tame kernel for relative quadratic extensions

Acta Arithmetica ◽

10.4064/aa131-4-6 ◽

2008 ◽

Vol 131 (4) ◽

pp. 389-402 ◽

Cited By ~ 1

Author(s):

Jonathan W. Sands

Keyword(s):

Quadratic Extensions ◽

Fitting Ideal ◽

Tame Kernel ◽

Relative Quadratic Extensions

Tame kernels under relative quadratic extensions and Hilbert symbols

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1998.056 ◽

1998 ◽

Vol 1998 (499) ◽

pp. 145-188

Author(s):

Manfred Kolster ◽

Jürgen Hurrelbrink

Keyword(s):

Quadratic Extensions ◽

Tame Kernels ◽

Relative Quadratic Extensions

On integral bases in relative quadratic extensions

Mathematics of Computation ◽

10.1090/s0025-5718-96-00686-2 ◽

1996 ◽

Vol 65 (213) ◽

pp. 319-330 ◽

Cited By ~ 3

Author(s):

M. Daberkow ◽

M. Pohst

Keyword(s):

Integral Bases ◽

Quadratic Extensions ◽

Relative Quadratic Extensions

Witt Equivalence of Global Fields. II: Relative Quadratic Extensions

Transactions of the American Mathematical Society ◽

10.2307/2154533 ◽

1994 ◽

Vol 343 (1) ◽

pp. 277

Author(s):

Kazimierz Szymiczek

Keyword(s):

Global Fields ◽

Quadratic Extensions ◽

Witt Equivalence ◽

Relative Quadratic Extensions

Witt equivalence of global fields. II. Relative quadratic extensions

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1994-1176087-x ◽

1994 ◽

Vol 343 (1) ◽

pp. 277-303

Author(s):

Kazimierz Szymiczek

Keyword(s):

Global Fields ◽

Quadratic Extensions ◽

Witt Equivalence ◽

Relative Quadratic Extensions

A Sequence of Results on Class Number Congruences

Canadian Mathematical Bulletin ◽

10.4153/cmb-1993-020-x ◽

1993 ◽

Vol 36 (2) ◽

pp. 139-143

Author(s):

Antone Costa

Keyword(s):

Class Number ◽

Positive Density ◽

Quadratic Extensions ◽

Totally Real ◽

Relative Quadratic Extensions

AbstractLet p ≡ 1 mod 8 be a rational prime and let h(—p) be the class number of . In [1], Barrucand and Cohn show that h(-p) = 0 mod 8 iff p = x2 + 32y2 for some x,y € Z. In this article, we generalize their result to a family of relative quadratic extensions K/F, where Fk is the maximum totally real subfield of Q(ζ2k+2 ), and a power of a prime of Fk from a family of positive density.