Elliot Benjamin

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Person:315363

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zbMath Open benjamin.elliotMaRDI QIDQ315363

List of research outcomes

PublicationDate of PublicationType
The computation of $\mathrm{Gal}(k^\infty /k)$ for some complex quadratic number fields $k$2024-02-28Paper
On some finite 2-groups in which the derived group has two generators2023-02-21Paper
Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 22022-08-09Paper
The narrow 2-class field tower of some real quadratic number fields2020-07-16Paper
On the rank of the 2-class group of the Hilbert 2-class field of some quadratic fields2019-07-09Paper
Classification of metabelian 2-groups \(G\) with \(\mathbf{G}^{\mathrm{ab}} (\mathbf{2},\mathbf{2}^{\mathbf n})\), \(\mathbf n\geq \mathbf 2\), and rank \(\mathbf d(\mathbf G^{\prime})=\mathbf 2\). Applications to real quadratic number fields2018-09-07Paper
Corrigendum to: ``Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group.2017-08-31Paper
Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 42017-05-10Paper
Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group2016-12-23Paper
Some fifth roots that are constructible by marked ruler and compass2016-09-21Paper
ELEMENTS OF ORDER FOUR IN THE NARROW CLASS GROUP OF REAL QUADRATIC FIELDS2016-02-22Paper
On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 42015-05-04Paper
On the construction of the regular hendecagon by marked ruler and compass2014-05-12Paper
https://portal.mardi4nfdi.de/entity/Q54113532014-04-23Paper
On the constructibility of real 5th roots of rational numbers with marked ruler and compass2012-09-07Paper
https://portal.mardi4nfdi.de/entity/Q35811602010-08-16Paper
On the unit group of some multiquadratic number fields2008-11-14Paper
https://portal.mardi4nfdi.de/entity/Q35356602008-11-13Paper
On the 2-class field tower of some imaginary biquadratic number fields2006-11-03Paper
https://portal.mardi4nfdi.de/entity/Q46801452006-06-09Paper
https://portal.mardi4nfdi.de/entity/Q44329522003-12-07Paper
Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\).2003-12-03Paper
https://portal.mardi4nfdi.de/entity/Q44333602003-01-01Paper
On imaginary quadratic number fields with \(2\)-class group of rank \(4\) and infinite \(2\)-class field tower.2002-10-22Paper
Imaginary quadratic fields with Cl_2(k) = (2,2,2)2002-07-15Paper
On the second Hilbert 2-class field of real quadratic number fields with 2-class group isomorphic to \((2,2^n)\), \(n\geq 2\)2002-05-11Paper
Imaginary quadratic fields \(k\) with \(\text{Cl}_ 2(k)\simeq(2,2^ m)\) and rank \(\text{Cl}_ 2(k^ 1)=2\).2001-09-24Paper
Imaginary quadratic fields k with Cl_2(k) = (2,2^m) and Rank Cl_2(k^1) = 22000-03-26Paper
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 32000-01-25Paper
https://portal.mardi4nfdi.de/entity/Q47020022000-01-11Paper
Real quadratic fields with abelian 2-class field tower1999-08-16Paper
Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\)1998-02-16Paper
https://portal.mardi4nfdi.de/entity/Q48867421996-07-23Paper
Real Quadratic Number Fields with 2-Class Group of Type (2,2).1996-06-06Paper
Capitulation in unramified quadratic extensions of real quadratic number fields1995-09-14Paper
Remarks concerning the 2-Hilbert class field of imaginary quadratic number fields: Corrigenda1995-02-26Paper
Remarks concerning the 2-Hilbert class field of imaginary quadratic number fields1994-03-14Paper

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