Edit Profile (opens in new tab) Benjamin, Elliot Co-Author Distance Author ID: 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 all top 5 Co-Authors 14 single-authored 20 Snyder, Chip 5 Lemmermeyer, Franz 3 Lemmermeyer, Franz 2 Bresinsky, Henrik 1 Parry, Charles J. 1 Sanborn, F. all top 5 Serials 8 Journal of Number Theory 3 Acta Arithmetica 3 Pacific Journal of Mathematics 3 JP Journal of Algebra, Number Theory and Applications 2 Bulletin of the Australian Mathematical Society 2 Houston Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales des Sciences Mathématiques du Québec 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Mathematica Scandinavica 1 Acta Mathematica Universitatis Comenianae. New Series 1 The Ramanujan Journal 1 Far East Journal of Mathematical Sciences 1 The Quarterly Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 ISRN Algebra Fields 30 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 3 Geometry (51-XX) 2 Commutative algebra (13-XX) 1 Field theory and polynomials (12-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 Cited by 47 Authors 18 Azizi, Abdelmalek 16 Benjamin, Elliot 16 Zekhnini, Abdelkader 11 Mouhib, Ali 10 Snyder, Chip 10 Taous, Mohammed 7 Mizusawa, Yasushi 5 Lemmermeyer, Franz 3 Jerrari, Idriss 3 Mayer, Daniel C. 3 Rezzougui, Mohammed 3 Yamamura, Ken 2 Boston, Nigel 2 Chems-Eddin, Mohamed Mahmoud 2 Dakkak, Ahmed 2 Essahel, Said 2 Gerth, Frank III 2 Movahhedi, Abbas 2 Talbi, Mohammed 1 Aaboun, B. 1 Bush, Michael R. 1 Chan, Stephanie 1 El Fadil, Lhoussain 1 Gonzalez-Avilés, Cristian D. 1 Kwon, Soun-Hi 1 Lawson, Dan 1 Laxmi, H. 1 Lemmermeyer, Franz 1 Lopez, Adele 1 Maire, Christian 1 McLeman, Cam 1 Milici, Pietro 1 Milovic, Djordjo Z. 1 Nomura, Akito 1 Nover, Harris 1 Ozaki, Manabu 1 Park, Sun-Mi 1 Parry, Charles J. 1 Richeson, David S. 1 Rouas, S. 1 Saikia, Anupam 1 Sasaki, Sosuke 1 Steurer, Aliza 1 Wang, Jiuya 1 Wang, Victor Y. 1 Yang, Hee-Sun 1 Yue, Qin all top 5 Cited in 41 Serials 16 Journal of Number Theory 5 Journal de Théorie des Nombres de Bordeaux 4 Acta Arithmetica 3 Transactions of the American Mathematical Society 2 Periodica Mathematica Hungarica 2 Rocky Mountain Journal of Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Functiones et Approximatio. Commentarii Mathematici 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Proceedings of the Japan Academy. Series A 2 Annales Mathématiques Blaise Pascal 2 The Ramanujan Journal 2 International Journal of Number Theory 1 The Mathematical Intelligencer 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Mathematica Slovaca 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Acta Mathematica Hungarica 1 International Journal of Mathematics 1 Mathematica Bohemica 1 Turkish Journal of Mathematics 1 Journal of Algebra and its Applications 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Journal of Mathematical Cryptology 1 The College Mathematics Journal 1 Communications in Mathematics 1 Annales Mathématiques du Québec 1 Research in Number Theory all top 5 Cited in 6 Fields 75 Number theory (11-XX) 14 Group theory and generalizations (20-XX) 3 Geometry (51-XX) 2 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Mathematics education (97-XX) Citations by Year