The narrow 2-class field tower of some real quadratic number fields

Acta Arithmetica ◽

10.4064/aa190517-23-8 ◽

2020 ◽

Vol 194 (2) ◽

pp. 187-217

Author(s):

Elliot Benjamin ◽

C. Snyder

Keyword(s):

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Quadratic Number Fields ◽

Class Field Tower ◽

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Real quadratic number fields with metacyclic Hilbert $2$-class field tower

10.21136/mb.2018.0102-17 ◽

2018 ◽

Vol 144 (2) ◽

pp. 177-190

Author(s):

Said Essahel ◽

Ahmed Dakkak ◽

Ali Mouhib

Keyword(s):

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Quadratic Number Fields ◽

Class Field Tower ◽

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On the Second Hilbert 2-Class Field of Real Quadratic Number Fields with 2-Class Group Isomorphic to $(2,2^n)$, $n\ge2$

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181071608 ◽

1999 ◽

Vol 29 (3) ◽

pp. 763-786 ◽

Author(s):

Elliot Benjamin

Keyword(s):

Class Group ◽

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Quadratic Number Fields ◽

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Infinite Hilbert 2-class field tower of quadratic number fields

Acta Arithmetica ◽

10.4064/aa145-3-4 ◽

2010 ◽

Vol 145 (3) ◽

pp. 267-272 ◽

Author(s):

A. Mouhib

Keyword(s):

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Quadratic Number Fields ◽

Class Field Tower

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Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group

Journal of Number Theory ◽

10.1016/j.jnt.2016.09.030 ◽

2017 ◽

Vol 173 ◽

pp. 529-546 ◽

Author(s):

Elliot Benjamin

Keyword(s):

Class Group ◽

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Quadratic Number Fields ◽

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A NOTE ON THE RANK OF THE 2-CLASS GROUP OF THE HILBERT 2-CLASS FIELD OF SOME REAL QUADRATIC NUMBER FIELDS

Journal of Algebra Number Theory Advances and Applications ◽

10.18642/jantaa_7100121949 ◽

2018 ◽

Vol 19 (2) ◽

pp. 79-91

Author(s):

Elliot Benjamin ◽

Keyword(s):

Class Group ◽

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Quadratic Number Fields ◽

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On imaginary quadratic number fields with 2-class group of rank 4 and infinite 2-class field tower

Pacific Journal of Mathematics ◽

10.2140/pjm.2001.201.257 ◽

2001 ◽

Vol 201 (2) ◽

pp. 257-266 ◽

Author(s):

Elliot Benjamin

Keyword(s):

Class Group ◽

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Quadratic Number Fields ◽

Imaginary Quadratic Number ◽

Class Field Tower

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On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4

Journal of Number Theory ◽

10.1016/j.jnt.2015.02.003 ◽

2015 ◽

Vol 154 ◽

pp. 118-143 ◽

Author(s):

Elliot Benjamin

Keyword(s):

Class Group ◽

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Quadratic Number Fields ◽

Imaginary Quadratic Number ◽

Class Field Tower

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A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower

The Ramanujan Journal ◽

10.1007/s11139-015-9713-9 ◽

2015 ◽

Vol 40 (2) ◽

pp. 405-412

Author(s):

A. Mouhib

Keyword(s):

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Positive Proportion ◽

Quadratic Number Fields ◽

Class Field Tower

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Corrigendum to “Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group” [J. Number Theory 173 (2017) 529–546]

Journal of Number Theory ◽

10.1016/j.jnt.2017.03.023 ◽

2017 ◽

Vol 180 ◽

pp. 787-789

Author(s):

Elliot Benjamin

Keyword(s):

Number Theory ◽

Class Group ◽

Number Fields ◽

Quadratic Number ◽

Class Field ◽

Quadratic Number Fields ◽

Download Full-text

On $2$-class field towers of some real quadratic number fields with $2$-class groups of rank $3$

Illinois Journal of Mathematics ◽

10.1215/ijm/1417442559 ◽

2013 ◽

Vol 57 (4) ◽

pp. 1009-1018 ◽

Author(s):

A. Mouhib

Keyword(s):

Number Fields ◽

Quadratic Number ◽

Class Groups ◽

Class Field ◽

Quadratic Number Fields ◽

Class Field Towers ◽

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