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Elliot Benjamin

Unity College

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Publication

Featured researches published by Elliot Benjamin.

Journal of Number Theory | 2003

Imaginary quadratic fields with Cl2(k)≃(2,2,2)

Elliot Benjamin; Franz Lemmermeyer; C. Snyder

Abstract We characterize those imaginary quadratic number fields, k, with 2-class group of type (2,2,2) and with the 2-rank of the class group of its Hilbert 2-class field equal to 2. We then compute the length of the 2-class field tower of k.

Journal of Number Theory | 1998

Real Quadratic Fields with Abelian 2-Class Field Tower

Elliot Benjamin; Franz Lemmermeyer; C. Snyder

Journal of Number Theory | 1997

Imaginary Quadratic Fieldskwith Cyclic Cl2(k1)

Elliot Benjamin; F. Lemmermeyer; C. Snyder

Pacific Journal of Mathematics | 2001

Imaginary quadratic fields k with Cl2(k) ≈ (2,2m) and rank Cl2 (k1) = 2

Elliot Benjamin; Franz Lemmermeyer; C. Snyder

Pacific Journal of Mathematics | 2001

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

Elliot Benjamin

Journal of Number Theory | 1999

Refined Lower Bounds on the 2-Class Number of the Hilbert 2-Class Field of Imaginary Quadratic Number Fields with Elementary 2-Class Group of Rank 3

Elliot Benjamin; Charles J. Parry

Bulletin of The Australian Mathematical Society | 1993

Remarks concerning the 2-Hilbert class field of imaginary quadratic number fields

Elliot Benjamin

Journal of Number Theory | 2015

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

Elliot Benjamin

Ramanujan Journal | 2006

On the 2-class field tower of some imaginary biquadratic number fields

Elliot Benjamin

Journal of Number Theory | 2003

Imaginary quadratic fields with Cl 2( k)?(2,2,2)

Elliot Benjamin; Franz Lemmermeyer; C. Snyder

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C. Snyder

University of Maine

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Franz Lemmermeyer

Bilkent University

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Charles J. Parry

Virginia Tech

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F. Lemmermeyer

Saarland University

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Franz Lemmermeyer

Bilkent University

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