Quadratic fields with infinite Hilbert 2-class field towers

Acta Arithmetica ◽

10.4064/aa106-2-5 ◽

2003 ◽

Vol 106 (2) ◽

pp. 151-158 ◽

Cited By ~ 5

Author(s):

Frank Gerth

Keyword(s):

Quadratic Fields ◽

Class Field ◽

Class Field Towers

Download Full-text

Some real quadratic fields with infinite Hilbert 2-class field towers

Japanese journal of mathematics ◽

10.4099/math1924.31.175 ◽

2005 ◽

Vol 31 (1) ◽

pp. 175-181 ◽

Cited By ~ 2

Author(s):

Frank GERTHIII

Keyword(s):

Quadratic Fields ◽

Class Field ◽

Real Quadratic Fields ◽

Class Field Towers ◽

Real Quadratic

Download Full-text

Class field towers of imaginary quadratic fields

manuscripta mathematica ◽

10.1007/bf01168670 ◽

1987 ◽

Vol 57 (4) ◽

pp. 425-450 ◽

Cited By ~ 5

Author(s):

James R. Brink ◽

Robert Gold

Keyword(s):

Quadratic Fields ◽

Imaginary Quadratic Fields ◽

Class Field ◽

Class Field Towers

Download Full-text

Densities for some real quadratic fields with infinite Hilbert 2-class field towers

Journal of Number Theory ◽

10.1016/j.jnt.2005.08.003 ◽

2006 ◽

Vol 118 (1) ◽

pp. 90-97 ◽

Cited By ~ 1

Author(s):

Frank Gerth

Keyword(s):

Quadratic Fields ◽

Class Field ◽

Real Quadratic Fields ◽

Class Field Towers ◽

Real Quadratic

Download Full-text

A density result for some imaginary quadratic fields with infinite Hilbert 2-class field towers

Archiv der Mathematik ◽

10.1007/s00013-003-4790-1 ◽

2004 ◽

Vol 82 (1) ◽

pp. 23-27 ◽

Cited By ~ 5

Author(s):

F. Gerth III

Keyword(s):

Quadratic Fields ◽

Imaginary Quadratic Fields ◽

Class Field ◽

Density Result ◽

Class Field Towers

Download Full-text

On metabelian 2-class field towers over -extensions of real quadratic fields

Canadian Mathematical Bulletin ◽

10.4153/s0008439521000862 ◽

2021 ◽

pp. 1-11

Author(s):

Yasushi Mizusawa

Keyword(s):

Quadratic Fields ◽

Class Field ◽

Real Quadratic Fields ◽

Class Field Towers ◽

Real Quadratic

Download Full-text

Abelian p-class field towers over the cyclotomic Zp-extensions of imaginary quadratic fields

Acta Arithmetica ◽

10.4064/aa125-4-5 ◽

2006 ◽

Vol 125 (4) ◽

pp. 363-381 ◽

Cited By ~ 4

Author(s):

Keiji Okano

Keyword(s):

Quadratic Fields ◽

Imaginary Quadratic Fields ◽

Class Field ◽

Class Field Towers

Download Full-text

Infinite class field towers of quadratic fields.

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

10.1515/crll.1986.372.209 ◽

1986 ◽

Vol 1986 (372) ◽

pp. 209-220 ◽

Cited By ~ 1

Keyword(s):

Quadratic Fields ◽

Infinite Class ◽

Class Field ◽

Class Field Towers

Download Full-text

Abelian 2-class field towers over the cyclotomic $${\mathbb {Z}_2}$$ -extensions of imaginary quadratic fields

Mathematische Annalen ◽

10.1007/s00208-009-0431-8 ◽

2009 ◽

Vol 347 (2) ◽

pp. 437-453

Author(s):

Yasushi Mizusawa ◽

Manabu Ozaki

Keyword(s):

Quadratic Fields ◽

Imaginary Quadratic Fields ◽

Class Field ◽

Class Field Towers

Download Full-text

Infinite class field towers

Mathematische Annalen ◽

10.1007/s00208-009-0334-8 ◽

2009 ◽

Vol 344 (4) ◽

pp. 923-928 ◽

Cited By ~ 2

Author(s):

Jing Long Hoelscher

Keyword(s):

Infinite Class ◽

Class Field ◽

Class Field Towers

Download Full-text

Ray class field extensions of real quadratic fields and solvability of congruences

Journal of Number Theory ◽

10.1016/0022-314x(85)90021-6 ◽

1985 ◽

Vol 20 (3) ◽

pp. 262-272

Author(s):

Paul B. Massell

Keyword(s):

Quadratic Fields ◽

Class Field ◽

Real Quadratic Fields ◽

Field Extensions ◽

Ray Class Field ◽

Real Quadratic

Download Full-text