Edit Profile Humphries, Stephen P. Compute Distance To: Compute Author ID: humphries.stephen-p Published as: Humphries, S. P.; Humphries, Stephen; Humphries, Stephen P. Homepage: https://math.byu.edu/~steve/ External Links: MGP Documents Indexed: 62 Publications since 1979 all top 5 Co-Authors 37 single-authored 4 Johnson, Kenneth W. 3 Rode, Emma L. 2 Manning, Anthony 2 Misseldine, Andrew 1 Bastian, Nicholas 1 Bradshaw, Robert W. 1 Brewer, Jaden 1 Brown, Ronald 1 Cornwell, Christopher R. 1 Francis, Amanda E. 1 Hoagland, Courtney 1 Johnson, Dennis L. 1 Kennedy, Chelsea 1 Kerby, Brent L. 1 Li, Zane Kun 1 Lodwick, Weldon Alexander 1 Long, Darren D. 1 McCourt, Steve 1 Newman, Francis 1 Nguyen, Long Giang 1 Nguyen, Long Hoang 1 Nicholson, Nathan 1 Paulsen, Rebeca A. 1 Poulsen, Seth 1 Shao, Changguo 1 Skabelund, Dane C. 1 Thompson, Cache 1 Wagner, David R. 1 You, Xingzhong 1 Zhang, Jinshan all top 5 Serials 9 Communications in Algebra 6 Glasgow Mathematical Journal 6 Journal of Algebra 4 Mathematical Proceedings of the Cambridge Philosophical Society 3 Mathematische Zeitschrift 3 International Journal of Algebra and Computation 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Geometriae Dedicata 2 Proceedings of the London Mathematical Society. Third Series 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Topology and its Applications 2 Journal of Knot Theory and its Ramifications 1 Inventiones Mathematicae 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Ergodic Theory and Dynamical Systems 1 Graphs and Combinatorics 1 Linear Algebra and its Applications 1 Journal of Algebraic Combinatorics 1 Algebra Colloquium 1 Journal of Group Theory 1 Algebras and Representation Theory 1 Journal of Algebra and its Applications 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications all top 5 Fields 51 Group theory and generalizations (20-XX) 17 Manifolds and cell complexes (57-XX) 11 Combinatorics (05-XX) 5 Associative rings and algebras (16-XX) 4 Number theory (11-XX) 4 Special functions (33-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 42 Publications have been cited 175 times in 139 Documents Cited by ▼ Year ▼ Generators for the mapping class group. Zbl 0732.57004Humphries, Stephen P. 23 1979 Orbits under symplectic transvections. I; II: The case \(K=F_ 2\). Zbl 0604.51008Brown, Ronald; Humphries, Stephen P. 18 1986 On representations of Artin groups and the Tits conjecture. Zbl 0822.20041Humphries, Stephen P. 15 1994 An approach to automorphisms of free groups and braids via transvections. Zbl 0757.20006Humphries, Stephen P. 9 1992 On weakly distinguished bases and free generating sets of free groups. Zbl 0563.20026Humphries, Stephen P. 9 1985 Fusions of character tables and Schur rings of Abelian groups. Zbl 1181.20006Humphries, Stephen P.; Johnson, Kenneth W. 8 2008 Normal closures of powers of Dehn twists in mapping class groups. Zbl 0760.57005Humphries, Stephen P. 7 1992 Free subgroups of \(SL(n,Z),\) \(n>2\), generated by transvections. Zbl 0648.20050Humphries, Stephen P. 7 1988 Finite Hurwitz braid group actions on sequences of Euclidean reflections. Zbl 1040.20031Humphries, Stephen P. 5 2003 Generation of special linear groups by transvections. Zbl 0587.20030Humphries, Stephen P. 5 1986 Curves of fixed points of trace maps. Zbl 1143.37031Humphries, Stephen; Manning, Anthony 4 2007 Weak Cayley table groups. Zbl 0944.20017Humphries, Stephen P. 4 1999 Cogrowth of groups and the Dedekind-Frobenius group determinant. Zbl 0895.20026Humphries, Stephen P. 4 1997 Graphs and Nielsen transformations of symmetric, orthogonal, and symplectic groups. Zbl 0577.20036Humphries, Stephen P. 4 1985 Weak Cayley tables and generalized centralizer rings of finite groups. Zbl 1280.20002Humphries, Stephen P.; Rode, Emma L. 3 2012 Subgroups of pure braid groups generated by powers of Dehn twists. Zbl 1160.20028Humphries, Stephen P. 3 2007 Intersection-number operators and Chebyshev polynomials. IV: Non-planar cases. Zbl 1186.57013Humphries, Stephen P. 3 2007 Finite Hurwitz braid group actions for Artin groups. Zbl 1109.20030Humphries, Stephen P. 3 2004 Torsion-free quotients of braid groups. Zbl 1025.20024Humphries, Stephen P. 3 2001 Intersection-number operators for curves on discs. II. Zbl 0989.57006Humphries, Stephen P. 3 2001 Cogrowth of groups and a matrix of Redheffer. Zbl 0881.20016Humphries, Stephen P. 3 1997 Some subgroups of SL(3,\({\mathbb{Z}})\) generated by involutions. Zbl 0725.20039Humphries, Stephen P. 3 1990 A generalization of winding number functions on surfaces. Zbl 0681.57003Humphries, Stephen P.; Johnson, Dennis 3 1989 Weak Cayley table groups. II: Alternating groups and finite Coxeter groups. Zbl 1330.20008Humphries, Stephen P.; Nguyen, Long 2 2015 Fusions of character tables. III: Fusions of cyclic groups and a generalisation of a condition of Camina. Zbl 1257.20006Humphries, Stephen P.; Kerby, Brent L.; Johnson, Kenneth W. 2 2010 Fusions of character tables. II: \(p\)-groups. Zbl 1186.20007Humphries, Stephen P.; Johnson, Kenneth W. 2 2009 Intersection-number operators for curves on discs and Chebyshev polynomials. Zbl 1030.11066Humphries, Stephen P. 2 2001 Quotients of Coxeter complexes, fundamental groupoids and regular graphs. Zbl 0807.57002Humphries, Stephen P. 2 1994 On reducible braids and composite braids. Zbl 0826.57005Humphries, Stephen P. 2 1994 Split braids. Zbl 0743.20041Humphries, Stephen P. 2 1991 On Schur rings over infinite groups. Zbl 1453.20006Bastian, Nicholas; Brewer, Jaden; Humphries, Stephen; Misseldine, Andrew; Thompson, Cache 1 2020 Weak Cayley table groups. III: \(\mathrm{PSL}(2,q)\). Zbl 1372.20014Humphries, Stephen P.; Nguyen, Long 1 2017 Commutative Schur rings over symmetric groups. Zbl 1343.20003Humphries, Stephen P. 1 2015 Commutative Schur rings of maximal dimension. Zbl 1338.20001Humphries, Stephen P.; Johnson, Kenneth W.; Misseldine, Andrew 1 2015 Character tables of metacyclic groups. Zbl 1316.20004Humphries, Stephen P.; Skabelund, Dane C. 1 2015 A note on “Conjugacy classes outside a normal subgroup”. Zbl 1176.20029Shao, Changguo; Humphries, Stephen; You, Xingzhong; Zhang, Jinshan 1 2009 Intersection theories and Chebyshev polynomials. III. Zbl 1243.57012Humphries, Stephen P. 1 2009 Counting fundamental paths in certain Garside semigroups. Zbl 1147.20049Cornwell, Christopher R.; Humphries, Stephen P. 1 2008 Action of braid groups on determinantal ideals, compact spaces and a stratification of Teichmüller space. Zbl 1002.20020Humphries, Stephen P. 1 2001 Some linear representations of braid groups. Zbl 1030.20025Humphries, Stephen P. 1 2000 Optimization methods for radiation therapy plans. Zbl 0929.65135Lodwick, Weldon A.; McCourt, Steve; Newman, Francis; Humphries, Stephen 1 1999 On the Mal’cev quotients of certain hyperbolic link groups. Zbl 0641.57003Humphries, S. P.; Long, D. D. 1 1987 On Schur rings over infinite groups. Zbl 1453.20006Bastian, Nicholas; Brewer, Jaden; Humphries, Stephen; Misseldine, Andrew; Thompson, Cache 1 2020 Weak Cayley table groups. III: \(\mathrm{PSL}(2,q)\). Zbl 1372.20014Humphries, Stephen P.; Nguyen, Long 1 2017 Weak Cayley table groups. II: Alternating groups and finite Coxeter groups. Zbl 1330.20008Humphries, Stephen P.; Nguyen, Long 2 2015 Commutative Schur rings over symmetric groups. Zbl 1343.20003Humphries, Stephen P. 1 2015 Commutative Schur rings of maximal dimension. Zbl 1338.20001Humphries, Stephen P.; Johnson, Kenneth W.; Misseldine, Andrew 1 2015 Character tables of metacyclic groups. Zbl 1316.20004Humphries, Stephen P.; Skabelund, Dane C. 1 2015 Weak Cayley tables and generalized centralizer rings of finite groups. Zbl 1280.20002Humphries, Stephen P.; Rode, Emma L. 3 2012 Fusions of character tables. III: Fusions of cyclic groups and a generalisation of a condition of Camina. Zbl 1257.20006Humphries, Stephen P.; Kerby, Brent L.; Johnson, Kenneth W. 2 2010 Fusions of character tables. II: \(p\)-groups. Zbl 1186.20007Humphries, Stephen P.; Johnson, Kenneth W. 2 2009 A note on “Conjugacy classes outside a normal subgroup”. Zbl 1176.20029Shao, Changguo; Humphries, Stephen; You, Xingzhong; Zhang, Jinshan 1 2009 Intersection theories and Chebyshev polynomials. III. Zbl 1243.57012Humphries, Stephen P. 1 2009 Fusions of character tables and Schur rings of Abelian groups. Zbl 1181.20006Humphries, Stephen P.; Johnson, Kenneth W. 8 2008 Counting fundamental paths in certain Garside semigroups. Zbl 1147.20049Cornwell, Christopher R.; Humphries, Stephen P. 1 2008 Curves of fixed points of trace maps. Zbl 1143.37031Humphries, Stephen; Manning, Anthony 4 2007 Subgroups of pure braid groups generated by powers of Dehn twists. Zbl 1160.20028Humphries, Stephen P. 3 2007 Intersection-number operators and Chebyshev polynomials. IV: Non-planar cases. Zbl 1186.57013Humphries, Stephen P. 3 2007 Finite Hurwitz braid group actions for Artin groups. Zbl 1109.20030Humphries, Stephen P. 3 2004 Finite Hurwitz braid group actions on sequences of Euclidean reflections. Zbl 1040.20031Humphries, Stephen P. 5 2003 Torsion-free quotients of braid groups. Zbl 1025.20024Humphries, Stephen P. 3 2001 Intersection-number operators for curves on discs. II. Zbl 0989.57006Humphries, Stephen P. 3 2001 Intersection-number operators for curves on discs and Chebyshev polynomials. Zbl 1030.11066Humphries, Stephen P. 2 2001 Action of braid groups on determinantal ideals, compact spaces and a stratification of Teichmüller space. Zbl 1002.20020Humphries, Stephen P. 1 2001 Some linear representations of braid groups. Zbl 1030.20025Humphries, Stephen P. 1 2000 Weak Cayley table groups. Zbl 0944.20017Humphries, Stephen P. 4 1999 Optimization methods for radiation therapy plans. Zbl 0929.65135Lodwick, Weldon A.; McCourt, Steve; Newman, Francis; Humphries, Stephen 1 1999 Cogrowth of groups and the Dedekind-Frobenius group determinant. Zbl 0895.20026Humphries, Stephen P. 4 1997 Cogrowth of groups and a matrix of Redheffer. Zbl 0881.20016Humphries, Stephen P. 3 1997 On representations of Artin groups and the Tits conjecture. Zbl 0822.20041Humphries, Stephen P. 15 1994 Quotients of Coxeter complexes, fundamental groupoids and regular graphs. Zbl 0807.57002Humphries, Stephen P. 2 1994 On reducible braids and composite braids. Zbl 0826.57005Humphries, Stephen P. 2 1994 An approach to automorphisms of free groups and braids via transvections. Zbl 0757.20006Humphries, Stephen P. 9 1992 Normal closures of powers of Dehn twists in mapping class groups. Zbl 0760.57005Humphries, Stephen P. 7 1992 Split braids. Zbl 0743.20041Humphries, Stephen P. 2 1991 Some subgroups of SL(3,\({\mathbb{Z}})\) generated by involutions. Zbl 0725.20039Humphries, Stephen P. 3 1990 A generalization of winding number functions on surfaces. Zbl 0681.57003Humphries, Stephen P.; Johnson, Dennis 3 1989 Free subgroups of \(SL(n,Z),\) \(n>2\), generated by transvections. Zbl 0648.20050Humphries, Stephen P. 7 1988 On the Mal’cev quotients of certain hyperbolic link groups. Zbl 0641.57003Humphries, S. P.; Long, D. D. 1 1987 Orbits under symplectic transvections. I; II: The case \(K=F_ 2\). Zbl 0604.51008Brown, Ronald; Humphries, Stephen P. 18 1986 Generation of special linear groups by transvections. Zbl 0587.20030Humphries, Stephen P. 5 1986 On weakly distinguished bases and free generating sets of free groups. Zbl 0563.20026Humphries, Stephen P. 9 1985 Graphs and Nielsen transformations of symmetric, orthogonal, and symplectic groups. Zbl 0577.20036Humphries, Stephen P. 4 1985 Generators for the mapping class group. Zbl 0732.57004Humphries, Stephen P. 23 1979 all cited Publications top 5 cited Publications all top 5 Cited by 181 Authors 26 Humphries, Stephen P. 4 Nakamoto, Atsuhiro 3 Kazachkov, Ilya V. 3 Ota, Katsuhiro 2 Aramayona, Javier 2 Brendle, Tara E. 2 Cardenas, Humberto 2 Casals-Ruiz, Montserrat 2 Detinko, Alla S. 2 Garcia, Stephan Ramon 2 Huang, Hau-wen 2 Ishibashi, Hiroyuki 2 Johnson, Kenneth W. 2 Kerby, Brent L. 2 Kim, Sang-Hyun 2 Lluís Riera, Emilio 2 Margalit, Dan 2 Nesterov, V. V. 2 Ng, Lenhard L. 2 Pak, Igor 2 Raggi-Cárdenas, Alberto Gerardo 2 Rode, Emma L. 2 Stylianakis, Charalampos 2 Yun, Ki-Heon 1 Abdulrahim, Mohammad N. 1 Agnes, Corrado 1 Ai, Yinghua 1 Alperin, Roger Charles 1 Atiyah, Michael Francis 1 Baldwin, John A. 1 Baraglia, David 1 Barrera-Rodriguez, Carlos 1 Baumeister, Barbara 1 Baykur, Refik İnanç 1 Berest, Yuri Yu. 1 Bogley, William A. 1 Bolognesi, Michele 1 Burkett, Shawn T. 1 Cairns, Grant 1 Calderon, Aaron 1 Cardon, David A. 1 Charney, Ruth M. 1 Chas, Moira 1 Collins, Donald J. 1 Crisp, John D. C. 1 Dahlqvist, Antoine 1 Dahmani, François 1 Damanik, David 1 de Graaf, Willem Adriaan 1 De Lima, Juliana Roberta Theodoro 1 Delgado, Jordi 1 Di Martino, Lino 1 Duncan, Andrew J. 1 Einarsson, Rikhardur 1 Elder, Murray J. 1 Eshmatov, Alimjon 1 Fendley, Paul 1 Ferris, Michael C. 1 Flannery, Dane Laurence 1 Fowler, Christopher F. 1 Francis, Amanda E. 1 Garrabrant, Scott M. 1 Gobet, Thomas 1 González, Erick 1 Gorodetski, Anton 1 Gutierrez, Mauricio A. 1 Haglund, Frédéric 1 Haidar, Hasan A. 1 Halasi, Zoltán 1 Hendrickson, Anders O. F. 1 Hernández, Jesús Hernández 1 Higuchi, Yusuke 1 Ito, Tetsuya 1 Janse van Rensburg, Esaias J. 1 Januszkiewicz, Tadeusz 1 Jiang, Ziping 1 Kanev, Vassil 1 Karaali, Gizem 1 Kasahara, Yasushi 1 Kawazumi, Nariya 1 Kharlampovich, Olga G. 1 Koberda, Thomas 1 Komuro, Hideo 1 Korkmaz, Mustafa 1 Krstic, Sava A. 1 Kuno, Yusuke 1 Labruère, Catherine 1 Lamar, Jonathan 1 Lang, Mong Lung 1 Lee, Eonkyung 1 Lee, Sangjin 1 Leininger, Christopher J. 1 Leung, Ka Hin 1 Levine, Jerome P. 1 Lewis, Mark L. 1 Li, Zane Kun 1 Linnell, Peter Arnold 1 Lönne, Michael 1 Luo, Feng 1 Mahalanobis, Ayan ...and 81 more Authors all top 5 Cited in 58 Serials 15 Communications in Algebra 13 Journal of Algebra 7 Geometry & Topology 6 International Journal of Algebra and Computation 6 Algebraic & Geometric Topology 5 Glasgow Mathematical Journal 5 Transactions of the American Mathematical Society 3 Israel Journal of Mathematics 3 Geometriae Dedicata 3 Journal of Combinatorial Theory. Series B 3 Osaka Journal of Mathematics 3 Topology and its Applications 3 Journal of Knot Theory and its Ramifications 3 St. Petersburg Mathematical Journal 3 Journal of Group Theory 2 Communications in Mathematical Physics 2 Discrete Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Journal of Number Theory 2 Mathematische Zeitschrift 2 European Journal of Combinatorics 2 Journal of Algebraic Combinatorics 2 Journal of High Energy Physics 2 Journal of Algebra and its Applications 2 Journal of Topology and Analysis 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Chaos, Solitons and Fractals 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Journal of the American Mathematical Society 1 Annals of Operations Research 1 Linear Algebra and its Applications 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 The Ramanujan Journal 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Proceedings of the Steklov Institute of Mathematics 1 European Journal of Pure and Applied Mathematics 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Journal of Combinatorial Algebra 1 Winter Braids Lecture Notes 1 PUMP Journal of Undergraduate Research all top 5 Cited in 31 Fields 91 Group theory and generalizations (20-XX) 53 Manifolds and cell complexes (57-XX) 20 Combinatorics (05-XX) 11 Differential geometry (53-XX) 8 Algebraic geometry (14-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Number theory (11-XX) 5 Associative rings and algebras (16-XX) 4 Nonassociative rings and algebras (17-XX) 4 Geometry (51-XX) 4 Computer science (68-XX) 3 Mathematical logic and foundations (03-XX) 3 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Category theory; homological algebra (18-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year