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Author ID: benjamin.elliot Recent zbMATH articles by "Benjamin, Elliot"
Published as: Benjamin, Elliot; Benjamin, E.
Documents Indexed: 37 Publications since 1993, including 2 Additional arXiv Preprints
Reviewing Activity: 39 Reviews
Co-Authors: 6 Co-Authors with 23 Joint Publications
39 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

25 Publications have been cited 165 times in 78 Documents Cited by Year
Real quadratic fields with abelian 2-class field tower. Zbl 0919.11073
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, C.
38
1998
Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\). Zbl 0919.11074
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
21
1997
Real quadratic number fields with 2-class group of type \((2,2)\). Zbl 0847.11058
Benjamin, Elliot; Snyder, C.
19
1995
Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\). Zbl 1045.11077
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
15
2003
Imaginary quadratic fields \(k\) with \(\text{Cl}_ 2(k)\simeq(2,2^ m)\) and rank \(\text{Cl}_ 2(k^ 1)=2\). Zbl 1063.11038
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
9
2001
Capitulation in unramified quadratic extensions of real quadratic number fields. Zbl 0820.11068
Benjamin, E.; Sanborn, F.; Snyder, C.
8
1994
Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4. Zbl 1401.11143
Benjamin, Elliot; Snyder, C.
7
2017
On the rank of the 2-class group of the Hilbert 2-class field of some quadratic fields. Zbl 1445.11127
Benjamin, Elliot; Snyder, C.
7
2018
On the unit group of some multiquadratic number fields. Zbl 1221.11210
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, Chip
5
2007
Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group. Zbl 1377.11114
Benjamin, Elliot
4
2017
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 fields. Zbl 1435.11139
Benjamin, Elliot; Snyder, C.
4
2019
On imaginary quadratic number fields with \(2\)-class group of rank \(4\) and infinite \(2\)-class field tower. Zbl 1054.11056
Benjamin, Elliot
4
2001
On a question of Martinet concerning the 2-class field tower of imaginary quadratic number field. Zbl 1033.11051
Benjamin, Elliot
4
2002
Lower bounds on the 2-class number of the 2-Hilbert class field of imaginary quadratic number fields with elementary 2-class group of rank 3. Zbl 0863.11075
Benjamin, Elliot
3
1996
On the construction of the regular hendecagon by marked ruler and compass. Zbl 1300.51012
Benjamin, Elliot; Snyder, C.
3
2014
On the second Hilbert 2-class field of real quadratic number fields with 2-class group isomorphic to \((2,2^n)\), \(n\geq 2\). Zbl 0987.11070
Benjamin, Elliot
3
1999
On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4. Zbl 1319.11080
Benjamin, Elliot
2
2015
On the 2-class field tower of some imaginary biquadratic number fields. Zbl 1161.11401
Benjamin, Elliot
2
2006
Lower bounds on the 2-class number of the Hilbert 2-class field of quadratic number fields with 2-class number greater than or equal to 16. Zbl 0936.11064
Benjamin, Elliot
1
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. Zbl 0929.11047
Benjamin, Elliot; Parry, Charles J.
1
1999
Corrigendum to: “Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group”. Zbl 1377.11115
Benjamin, Elliot
1
2017
The narrow 2-class field tower of some real quadratic number fields. Zbl 1462.11101
Benjamin, Elliot; Snyder, C.
1
2020
Remarks concerning the 2-Hilbert class field of imaginary quadratic number fields: Corrigenda. Zbl 0816.11054
Benjamin, Elliot
1
1994
Remarks concerning the 2-Hilbert class field of imaginary quadratic number fields. Zbl 0806.11047
Benjamin, Elliot
1
1993
Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2. Zbl 1520.11093
Benjamin, Elliot; Snyder, C.
1
2022
Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2. Zbl 1520.11093
Benjamin, Elliot; Snyder, C.
1
2022
The narrow 2-class field tower of some real quadratic number fields. Zbl 1462.11101
Benjamin, Elliot; Snyder, C.
1
2020
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 fields. Zbl 1435.11139
Benjamin, Elliot; Snyder, C.
4
2019
On the rank of the 2-class group of the Hilbert 2-class field of some quadratic fields. Zbl 1445.11127
Benjamin, Elliot; Snyder, C.
7
2018
Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4. Zbl 1401.11143
Benjamin, Elliot; Snyder, C.
7
2017
Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group. Zbl 1377.11114
Benjamin, Elliot
4
2017
Corrigendum to: “Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group”. Zbl 1377.11115
Benjamin, Elliot
1
2017
On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4. Zbl 1319.11080
Benjamin, Elliot
2
2015
On the construction of the regular hendecagon by marked ruler and compass. Zbl 1300.51012
Benjamin, Elliot; Snyder, C.
3
2014
On the unit group of some multiquadratic number fields. Zbl 1221.11210
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, Chip
5
2007
On the 2-class field tower of some imaginary biquadratic number fields. Zbl 1161.11401
Benjamin, Elliot
2
2006
Imaginary quadratic fields with \(Cl_2(k)\simeq (2,2,2)\). Zbl 1045.11077
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
15
2003
On a question of Martinet concerning the 2-class field tower of imaginary quadratic number field. Zbl 1033.11051
Benjamin, Elliot
4
2002
Imaginary quadratic fields \(k\) with \(\text{Cl}_ 2(k)\simeq(2,2^ m)\) and rank \(\text{Cl}_ 2(k^ 1)=2\). Zbl 1063.11038
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
9
2001
On imaginary quadratic number fields with \(2\)-class group of rank \(4\) and infinite \(2\)-class field tower. Zbl 1054.11056
Benjamin, Elliot
4
2001
On the second Hilbert 2-class field of real quadratic number fields with 2-class group isomorphic to \((2,2^n)\), \(n\geq 2\). Zbl 0987.11070
Benjamin, Elliot
3
1999
Lower bounds on the 2-class number of the Hilbert 2-class field of quadratic number fields with 2-class number greater than or equal to 16. Zbl 0936.11064
Benjamin, Elliot
1
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. Zbl 0929.11047
Benjamin, Elliot; Parry, Charles J.
1
1999
Real quadratic fields with abelian 2-class field tower. Zbl 0919.11073
Benjamin, Elliot; Lemmermeyer, Franz; Snyder, C.
38
1998
Imaginary quadratic fields \(k\) with cyclic \(\text{Cl}_2(k^1)\). Zbl 0919.11074
Benjamin, E.; Lemmermeyer, F.; Snyder, C.
21
1997
Lower bounds on the 2-class number of the 2-Hilbert class field of imaginary quadratic number fields with elementary 2-class group of rank 3. Zbl 0863.11075
Benjamin, Elliot
3
1996
Real quadratic number fields with 2-class group of type \((2,2)\). Zbl 0847.11058
Benjamin, Elliot; Snyder, C.
19
1995
Capitulation in unramified quadratic extensions of real quadratic number fields. Zbl 0820.11068
Benjamin, E.; Sanborn, F.; Snyder, C.
8
1994
Remarks concerning the 2-Hilbert class field of imaginary quadratic number fields: Corrigenda. Zbl 0816.11054
Benjamin, Elliot
1
1994
Remarks concerning the 2-Hilbert class field of imaginary quadratic number fields. Zbl 0806.11047
Benjamin, Elliot
1
1993

Citations by Year