Edit Profile (opens in new tab) Klopsch, Benjamin Co-Author Distance Author ID: klopsch.benjamin Published as: Klopsch, Benjamin; Klopsch, B. Homepage: http://reh.math.uni-duesseldorf.de/~klopsch/ External Links: MGP · arXiv · GND Documents Indexed: 51 Publications since 2000, including 1 Book Reviewing Activity: 29 Reviews Co-Authors: 29 Co-Authors with 37 Joint Publications 286 Co-Co-Authors all top 5 Co-Authors 14 single-authored 8 Voll, Christopher 6 Onn, Uri 5 Avni, Nir 5 Thillaisundaram, Anitha 3 González-Sánchez, Jon 2 Berman, Mark N. 2 Jaikin-Zapirain, Andrei 2 Lev, Vsevolod F. 2 Snopce, Ilir 2 Vannacci, Matteo 1 Alexoudas, Theofanis 1 Apisa, Paul 1 Barnea, Yiftach 1 Baues, Oliver 1 Bienert, Rolf 1 Boschheidgen, Jan 1 de Mendonça, Luis Augusto 1 Detomi, Eloisa 1 Fel’shtyn, Alexander 1 Garaialde Ocaña, Oihana 1 Garrido, Alejandra 1 Iker, de las Heras 1 Kionke, Steffen 1 Kuckuck, Benno 1 Nikolov, Nikolay Valeriev 1 Petschick, Jan Moritz 1 Quick, Martyn 1 Shumyatsky, Pavel 1 Zugadi-Reizabal, Amaia all top 5 Serials 7 Journal of Algebra 4 Mathematische Zeitschrift 3 Journal of the London Mathematical Society. Second Series 2 Israel Journal of Mathematics 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Glasgow Mathematical Journal 2 Mathematische Nachrichten 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Forum Mathematicum 2 Journal of Group Theory 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Mathematische Annalen 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Note di Matematica 1 Geometric and Functional Analysis. GAFA 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Combinatorics 1 The Quarterly Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 London Mathematical Society Student Texts 1 Groups, Geometry, and Dynamics 1 Journal of Topology all top 5 Fields 48 Group theory and generalizations (20-XX) 16 Number theory (11-XX) 15 Topological groups, Lie groups (22-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 318 times in 198 Documents Cited by ▼ Year ▼ Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups. Zbl 1281.22005Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 31 2013 Automorphisms of the Nottingham group. Zbl 0965.20021Klopsch, Benjamin 26 2000 Analytic pro-\(p\) groups of small dimensions. Zbl 1183.20030González-Sánchez, Jon; Klopsch, Benjamin 19 2009 On the Lie theory of \(p\)-adic analytic groups. Zbl 1065.22005Klopsch, Benjamin 18 2005 Igusa-type functions associated to finite formed spaces and their functional equations. Zbl 1229.05288Klopsch, Benjamin; Voll, Christopher 18 2009 Index-subgroups of the Nottingham group. Zbl 1045.20021Barnea, Yiftach; Klopsch, Benjamin 16 2003 Maximal subgroups of multi-edge spinal groups. Zbl 1405.20020Alexoudas, Theofanis; Klopsch, Benjamin; Thillaisundaram, Anitha 13 2016 A generalization of the Burnside basis theorem. Zbl 1307.20028Apisa, Paul; Klopsch, Benjamin 12 2014 Similarity classes of integral \(\mathfrak p\)-adic matrices and representation zeta functions of groups of type \(\mathsf{A}_{2}\). Zbl 1409.11071Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 11 2016 Normal subgroups in substitution groups of formal power series. Zbl 0964.20016Klopsch, Benjamin 11 2000 Representation zeta functions of some compact \(p\)-adic analytic groups. Zbl 1281.22004Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 10 2012 Zeta functions of three-dimensional \(p\)-adic Lie algebras. Zbl 1193.11083Klopsch, Benjamin; Voll, Christopher 10 2009 How long does it take to generate a group? Zbl 1061.20046Klopsch, Benjamin; Lev, Vsevolod F. 9 2003 Representation growth and representation zeta functions of groups. Zbl 1279.22028Klopsch, Benjamin 8 2013 A characterization of uniform pro-\(p\) groups. Zbl 1312.20026Klopsch, Benjamin; Snopce, Ilir 8 2014 Arithmetic groups, base change, and representation growth. Zbl 1348.20054Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 7 2016 Analytic groups over general pro-\(p\) domains. Zbl 1161.20025Jaikin-Zapirain, Andrei; Klopsch, Benjamin 7 2007 Zeta functions related to the pro-\(p\) group \(\text{SL}_1(\Delta_p)\). Zbl 1076.20018Klopsch, Benjamin 7 2003 Hausdorff dimensions in \(p\)-adic analytic groups. Zbl 1515.20140Klopsch, Benjamin; Thillaisundaram, Anitha; Zugadi-Reizabal, Amaia 7 2019 Generating Abelian groups by addition only. Zbl 1172.20038Klopsch, Benjamin; Lev, Vsevolod F. 6 2009 The representation zeta function of a FAb compact \(p\)-adic Lie group vanishes at \(-2\). Zbl 1292.22006González-Sánchez, Jon; Jaikin-Zapirain, Andrei; Klopsch, Benjamin 6 2014 Pro-\(p\) groups with constant generating number on open subgroups. Zbl 1229.20023Klopsch, Benjamin; Snopce, Ilir 6 2011 A pro-\(p\) group with infinite normal Hausdorff spectra. Zbl 1514.20096Klopsch, Benjamin; Thillaisundaram, Anitha 5 2019 Abstract quotients of profinite groups, after Nikolov and Segal. Zbl 1499.20073Klopsch, Benjamin 5 2018 Strong conciseness in profinite groups. Zbl 07346505Detomi, Eloisa; Klopsch, Benjamin; Shumyatsky, Pavel 4 2020 Pro-\(p\) groups with linear subgroup growth. Zbl 1045.20017Klopsch, Benjamin 4 2003 On representation zeta-functions of groups and a conjecture of Larsen-Lubotzky. Zbl 1186.22018Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 4 2010 Pro-\(p\) groups of positive rank gradient and Hausdorff dimension. Zbl 1503.20006Ocaña, Oihana Garaialde; Garrido, Alejandra; Klopsch, Benjamin 4 2020 On \(w\)-maximal groups. Zbl 1223.20008González-Sánchez, Jon; Klopsch, Benjamin 3 2011 On the rank of compact \(p\)-adic Lie groups. Zbl 1221.20019Klopsch, Benjamin 3 2011 Groups with less than \(n\) subgroups of index \(n\). Zbl 1088.20012Klopsch, Benjamin 3 2005 A nilpotent group without local functional equations for pro-isomorphic subgroups. Zbl 1326.20038Berman, Mark N.; Klopsch, Benjamin 3 2015 Linear bounds for the degree of subgroup growth in terms of the Hirsch length. Zbl 1023.20008Klopsch, Benjamin 2 2000 Deformations and rigidity of lattices in solvable Lie groups. Zbl 1287.22004Baues, O.; Klopsch, B. 2 2013 Automorphism groups of cyclic codes. Zbl 1195.94083Bienert, Rolf; Klopsch, Benjamin 2 2010 Embedding properties of hereditarily just infinite profinite wreath products. Zbl 1370.20029Klopsch, Benjamin; Vannacci, Matteo 2 2017 Maximal subgroups and irreducible representations of generalized multi-edge spinal groups. Zbl 1512.20083Klopsch, Benjamin; Thillaisundaram, Anitha 2 2018 Lectures on profinite topics in group theory. Zbl 1217.20017Klopsch, Benjamin; Nikolov, Nikolay; Voll, Christopher 1 2011 A family of class-2 nilpotent groups, their automorphisms and pro-isomorphic zeta functions. Zbl 1435.11119Berman, Mark N.; Klopsch, Benjamin; Onn, Uri 1 2018 Enumerating finite groups without Abelian composition factors. Zbl 1128.20306Klopsch, Benjamin 1 2003 Zeta functions associated to admissible representations of compact \(p\)-adic Lie groups. Zbl 1473.22013Kionke, Steffen; Klopsch, Benjamin 1 2019 Strong conciseness in profinite groups. Zbl 07346505Detomi, Eloisa; Klopsch, Benjamin; Shumyatsky, Pavel 4 2020 Pro-\(p\) groups of positive rank gradient and Hausdorff dimension. Zbl 1503.20006Ocaña, Oihana Garaialde; Garrido, Alejandra; Klopsch, Benjamin 4 2020 Hausdorff dimensions in \(p\)-adic analytic groups. Zbl 1515.20140Klopsch, Benjamin; Thillaisundaram, Anitha; Zugadi-Reizabal, Amaia 7 2019 A pro-\(p\) group with infinite normal Hausdorff spectra. Zbl 1514.20096Klopsch, Benjamin; Thillaisundaram, Anitha 5 2019 Zeta functions associated to admissible representations of compact \(p\)-adic Lie groups. Zbl 1473.22013Kionke, Steffen; Klopsch, Benjamin 1 2019 Abstract quotients of profinite groups, after Nikolov and Segal. Zbl 1499.20073Klopsch, Benjamin 5 2018 Maximal subgroups and irreducible representations of generalized multi-edge spinal groups. Zbl 1512.20083Klopsch, Benjamin; Thillaisundaram, Anitha 2 2018 A family of class-2 nilpotent groups, their automorphisms and pro-isomorphic zeta functions. Zbl 1435.11119Berman, Mark N.; Klopsch, Benjamin; Onn, Uri 1 2018 Embedding properties of hereditarily just infinite profinite wreath products. Zbl 1370.20029Klopsch, Benjamin; Vannacci, Matteo 2 2017 Maximal subgroups of multi-edge spinal groups. Zbl 1405.20020Alexoudas, Theofanis; Klopsch, Benjamin; Thillaisundaram, Anitha 13 2016 Similarity classes of integral \(\mathfrak p\)-adic matrices and representation zeta functions of groups of type \(\mathsf{A}_{2}\). Zbl 1409.11071Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 11 2016 Arithmetic groups, base change, and representation growth. Zbl 1348.20054Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 7 2016 A nilpotent group without local functional equations for pro-isomorphic subgroups. Zbl 1326.20038Berman, Mark N.; Klopsch, Benjamin 3 2015 A generalization of the Burnside basis theorem. Zbl 1307.20028Apisa, Paul; Klopsch, Benjamin 12 2014 A characterization of uniform pro-\(p\) groups. Zbl 1312.20026Klopsch, Benjamin; Snopce, Ilir 8 2014 The representation zeta function of a FAb compact \(p\)-adic Lie group vanishes at \(-2\). Zbl 1292.22006González-Sánchez, Jon; Jaikin-Zapirain, Andrei; Klopsch, Benjamin 6 2014 Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups. Zbl 1281.22005Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 31 2013 Representation growth and representation zeta functions of groups. Zbl 1279.22028Klopsch, Benjamin 8 2013 Deformations and rigidity of lattices in solvable Lie groups. Zbl 1287.22004Baues, O.; Klopsch, B. 2 2013 Representation zeta functions of some compact \(p\)-adic analytic groups. Zbl 1281.22004Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 10 2012 Pro-\(p\) groups with constant generating number on open subgroups. Zbl 1229.20023Klopsch, Benjamin; Snopce, Ilir 6 2011 On \(w\)-maximal groups. Zbl 1223.20008González-Sánchez, Jon; Klopsch, Benjamin 3 2011 On the rank of compact \(p\)-adic Lie groups. Zbl 1221.20019Klopsch, Benjamin 3 2011 Lectures on profinite topics in group theory. Zbl 1217.20017Klopsch, Benjamin; Nikolov, Nikolay; Voll, Christopher 1 2011 On representation zeta-functions of groups and a conjecture of Larsen-Lubotzky. Zbl 1186.22018Avni, Nir; Klopsch, Benjamin; Onn, Uri; Voll, Christopher 4 2010 Automorphism groups of cyclic codes. Zbl 1195.94083Bienert, Rolf; Klopsch, Benjamin 2 2010 Analytic pro-\(p\) groups of small dimensions. Zbl 1183.20030González-Sánchez, Jon; Klopsch, Benjamin 19 2009 Igusa-type functions associated to finite formed spaces and their functional equations. Zbl 1229.05288Klopsch, Benjamin; Voll, Christopher 18 2009 Zeta functions of three-dimensional \(p\)-adic Lie algebras. Zbl 1193.11083Klopsch, Benjamin; Voll, Christopher 10 2009 Generating Abelian groups by addition only. Zbl 1172.20038Klopsch, Benjamin; Lev, Vsevolod F. 6 2009 Analytic groups over general pro-\(p\) domains. Zbl 1161.20025Jaikin-Zapirain, Andrei; Klopsch, Benjamin 7 2007 On the Lie theory of \(p\)-adic analytic groups. Zbl 1065.22005Klopsch, Benjamin 18 2005 Groups with less than \(n\) subgroups of index \(n\). Zbl 1088.20012Klopsch, Benjamin 3 2005 Index-subgroups of the Nottingham group. Zbl 1045.20021Barnea, Yiftach; Klopsch, Benjamin 16 2003 How long does it take to generate a group? Zbl 1061.20046Klopsch, Benjamin; Lev, Vsevolod F. 9 2003 Zeta functions related to the pro-\(p\) group \(\text{SL}_1(\Delta_p)\). Zbl 1076.20018Klopsch, Benjamin 7 2003 Pro-\(p\) groups with linear subgroup growth. Zbl 1045.20017Klopsch, Benjamin 4 2003 Enumerating finite groups without Abelian composition factors. Zbl 1128.20306Klopsch, Benjamin 1 2003 Automorphisms of the Nottingham group. Zbl 0965.20021Klopsch, Benjamin 26 2000 Normal subgroups in substitution groups of formal power series. Zbl 0964.20016Klopsch, Benjamin 11 2000 Linear bounds for the degree of subgroup growth in terms of the Hirsch length. Zbl 1023.20008Klopsch, Benjamin 2 2000 all cited Publications top 5 cited Publications all top 5 Cited by 194 Authors 24 Klopsch, Benjamin 15 Voll, Christopher 9 González-Sánchez, Jon 9 Snopce, Ilir 7 Avni, Nir 7 Jaikin-Zapirain, Andrei 7 Thillaisundaram, Anitha 6 Brenti, Francesco 6 Carnevale, Angela 6 Lucchini, Andrea 6 Onn, Uri 6 Rossmann, Tobias 6 Stocka, Agnieszka 5 Ershov, Mikhail V. 5 Vannacci, Matteo 4 Barnea, Yiftach 4 Kionke, Steffen 4 Krempa, Jan 4 Noseda, Francesco 4 Stasinski, Alexander 3 Bogatyĭ, Semeon Antonovich 3 De Las Heras, Iker 3 Delbourgo, Daniel 3 Fernández-Alcober, Gustavo A. 3 Francoeur, Dominik 3 Garrido, Alejandra 3 Lev, Vsevolod F. 3 Schein, Michael M. 3 Shumyatsky, Pavel 2 Aizenbud, Avraham 2 Babenko, Ivan K. 2 Bajnok, Béla 2 Berman, Mark N. 2 Bhanja, Jagannath 2 Bogataya, S. I. 2 Detomi, Eloisa 2 Kiselev, Denis Dmitrievich 2 Lei, Antonio 2 Macedo Lins de Araujo, Paula 2 Martínez López, Consuelo 2 Matzke, Ryan W. 2 Min, Jeongwon 2 Möller, Philip 2 Petschick, Jan Moritz 2 Pyber, László 2 Quadrelli, Claudio 2 Shechter, Shai 2 Singla, Pooja 2 Spiga, Pablo 2 Stanojkovski, Mima 2 Sulca, Diego 2 Uria-Albizuri, Jone 2 Varghese, Olga 2 Zozaya, Andoni 2 Zugadi-Reizabal, Amaia 1 Abramov, Ya. V. 1 Anabanti, Chimere Stanley 1 Árnadóttir, Arnbjörg Soffía 1 Avitabile, Marina 1 Bardestani, Mohammad 1 Bleher, Frauke M. 1 Bou-Rabee, Khalid 1 Byszewski, Jakub 1 Caprace, Pierre-Emmanuel 1 Carracedo, Jorge Martínez 1 Chebolu, Sunil K. 1 Chinburg, Ted 1 Chinta, Gautam 1 Cornelissen, Gunther 1 Corob Cook, Ged 1 Cowan, Raemeon A. 1 Cox, Charles Garnet 1 Damian, Erika 1 de Cornulier, Yves 1 Dung, Duong Hoang 1 Ezzat, Shannon 1 Galiay, Blandine 1 Gangavarapu 1 Garaialde Ocaña, Oihana 1 Garzoni, Daniele 1 Gavioli, Norberto 1 Giannelli, Eugenio 1 Glasby, Stephen Peter 1 Glazer, Itay 1 Glöckner, Helge 1 Goldfeld, Dorian Morris 1 Griffin, Cornelius 1 Guenda, Kenza 1 Gül, Şükran 1 Gulliver, Thomas Aaron 1 Guo, Peter Long 1 Hajir, Farshid 1 Han, Dong 1 Häsä, Jokke 1 Hassain, M. 1 Hegarty, Peter V. 1 Hegedűs, Pál 1 Henk, Martin 1 Hollmann, Hendrik Dirk Lodewijk 1 Huang, Feng-Kuo ...and 94 more Authors all top 5 Cited in 80 Serials 34 Journal of Algebra 12 Transactions of the American Mathematical Society 10 Journal of Group Theory 6 Israel Journal of Mathematics 5 Mathematische Zeitschrift 5 Monatshefte für Mathematik 4 Communications in Algebra 4 Advances in Mathematics 4 Journal of Number Theory 4 Proceedings of the American Mathematical Society 3 Bulletin of the Australian Mathematical Society 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Archiv der Mathematik 3 Bulletin of the London Mathematical Society 3 Journal of Pure and Applied Algebra 3 Mathematische Annalen 3 Forum Mathematicum 3 Annals of Mathematics. Second Series 2 Discrete Mathematics 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Journal of Combinatorial Theory. Series A 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Nachrichten 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 Topology and its Applications 2 SIAM Journal on Discrete Mathematics 2 Journal of the Ramanujan Mathematical Society 2 International Journal of Algebra and Computation 2 Journal de Théorie des Nombres de Bordeaux 2 Finite Fields and their Applications 2 The Electronic Journal of Combinatorics 2 Journal of the Australian Mathematical Society 2 Groups, Geometry, and Dynamics 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Annales Mathématiques du Québec 2 Algebraic Combinatorics 1 Journal of Mathematical Physics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Acta Arithmetica 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Demonstratio Mathematica 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 The Australasian Journal of Combinatorics 1 Journal of Algebraic Combinatorics 1 Journal of Lie Theory 1 Izvestiya: Mathematics 1 The Ramanujan Journal 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Algebra and Discrete Mathematics 1 Journal of Algebra and its Applications 1 Contributions to Discrete Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Advances in Mathematics of Communications 1 Involve 1 São Paulo Journal of Mathematical Sciences 1 Forum of Mathematics, Pi 1 Research in the Mathematical Sciences 1 Combinatorial Theory all top 5 Cited in 27 Fields 160 Group theory and generalizations (20-XX) 74 Number theory (11-XX) 45 Topological groups, Lie groups (22-XX) 24 Combinatorics (05-XX) 15 Algebraic geometry (14-XX) 10 Nonassociative rings and algebras (17-XX) 6 Associative rings and algebras (16-XX) 5 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Measure and integration (28-XX) 4 Information and communication theory, circuits (94-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 \(K\)-theory (19-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year