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## Humphries, Stephen P.

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 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
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#### 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
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#### 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
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#### 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)

#### Citations contained in zbMATH

42 Publications have been cited 175 times in 139 Documents Cited by Year
Generators for the mapping class group. Zbl 0732.57004
Humphries, Stephen P.
1979
Orbits under symplectic transvections. I; II: The case $$K=F_ 2$$. Zbl 0604.51008
Brown, Ronald; Humphries, Stephen P.
1986
On representations of Artin groups and the Tits conjecture. Zbl 0822.20041
Humphries, Stephen P.
1994
An approach to automorphisms of free groups and braids via transvections. Zbl 0757.20006
Humphries, Stephen P.
1992
On weakly distinguished bases and free generating sets of free groups. Zbl 0563.20026
Humphries, Stephen P.
1985
Fusions of character tables and Schur rings of Abelian groups. Zbl 1181.20006
Humphries, Stephen P.; Johnson, Kenneth W.
2008
Normal closures of powers of Dehn twists in mapping class groups. Zbl 0760.57005
Humphries, Stephen P.
1992
Free subgroups of $$SL(n,Z),$$ $$n>2$$, generated by transvections. Zbl 0648.20050
Humphries, Stephen P.
1988
Finite Hurwitz braid group actions on sequences of Euclidean reflections. Zbl 1040.20031
Humphries, Stephen P.
2003
Generation of special linear groups by transvections. Zbl 0587.20030
Humphries, Stephen P.
1986
Curves of fixed points of trace maps. Zbl 1143.37031
Humphries, Stephen; Manning, Anthony
2007
Weak Cayley table groups. Zbl 0944.20017
Humphries, Stephen P.
1999
Cogrowth of groups and the Dedekind-Frobenius group determinant. Zbl 0895.20026
Humphries, Stephen P.
1997
Graphs and Nielsen transformations of symmetric, orthogonal, and symplectic groups. Zbl 0577.20036
Humphries, Stephen P.
1985
Weak Cayley tables and generalized centralizer rings of finite groups. Zbl 1280.20002
Humphries, Stephen P.; Rode, Emma L.
2012
Subgroups of pure braid groups generated by powers of Dehn twists. Zbl 1160.20028
Humphries, Stephen P.
2007
Intersection-number operators and Chebyshev polynomials. IV: Non-planar cases. Zbl 1186.57013
Humphries, Stephen P.
2007
Finite Hurwitz braid group actions for Artin groups. Zbl 1109.20030
Humphries, Stephen P.
2004
Torsion-free quotients of braid groups. Zbl 1025.20024
Humphries, Stephen P.
2001
Intersection-number operators for curves on discs. II. Zbl 0989.57006
Humphries, Stephen P.
2001
Cogrowth of groups and a matrix of Redheffer. Zbl 0881.20016
Humphries, Stephen P.
1997
Some subgroups of SL(3,$${\mathbb{Z}})$$ generated by involutions. Zbl 0725.20039
Humphries, Stephen P.
1990
A generalization of winding number functions on surfaces. Zbl 0681.57003
Humphries, Stephen P.; Johnson, Dennis
1989
Weak Cayley table groups. II: Alternating groups and finite Coxeter groups. Zbl 1330.20008
Humphries, Stephen P.; Nguyen, Long
2015
Fusions of character tables. III: Fusions of cyclic groups and a generalisation of a condition of Camina. Zbl 1257.20006
Humphries, Stephen P.; Kerby, Brent L.; Johnson, Kenneth W.
2010
Fusions of character tables. II: $$p$$-groups. Zbl 1186.20007
Humphries, Stephen P.; Johnson, Kenneth W.
2009
Intersection-number operators for curves on discs and Chebyshev polynomials. Zbl 1030.11066
Humphries, Stephen P.
2001
Quotients of Coxeter complexes, fundamental groupoids and regular graphs. Zbl 0807.57002
Humphries, Stephen P.
1994
On reducible braids and composite braids. Zbl 0826.57005
Humphries, Stephen P.
1994
Split braids. Zbl 0743.20041
Humphries, Stephen P.
1991
On Schur rings over infinite groups. Zbl 1453.20006
Bastian, Nicholas; Brewer, Jaden; Humphries, Stephen; Misseldine, Andrew; Thompson, Cache
2020
Weak Cayley table groups. III: $$\mathrm{PSL}(2,q)$$. Zbl 1372.20014
Humphries, Stephen P.; Nguyen, Long
2017
Commutative Schur rings over symmetric groups. Zbl 1343.20003
Humphries, Stephen P.
2015
Commutative Schur rings of maximal dimension. Zbl 1338.20001
Humphries, Stephen P.; Johnson, Kenneth W.; Misseldine, Andrew
2015
Character tables of metacyclic groups. Zbl 1316.20004
Humphries, Stephen P.; Skabelund, Dane C.
2015
A note on “Conjugacy classes outside a normal subgroup”. Zbl 1176.20029
Shao, Changguo; Humphries, Stephen; You, Xingzhong; Zhang, Jinshan
2009
Intersection theories and Chebyshev polynomials. III. Zbl 1243.57012
Humphries, Stephen P.
2009
Counting fundamental paths in certain Garside semigroups. Zbl 1147.20049
Cornwell, Christopher R.; Humphries, Stephen P.
2008
Action of braid groups on determinantal ideals, compact spaces and a stratification of Teichmüller space. Zbl 1002.20020
Humphries, Stephen P.
2001
Some linear representations of braid groups. Zbl 1030.20025
Humphries, Stephen P.
2000
Optimization methods for radiation therapy plans. Zbl 0929.65135
Lodwick, Weldon A.; McCourt, Steve; Newman, Francis; Humphries, Stephen
1999
On the Mal’cev quotients of certain hyperbolic link groups. Zbl 0641.57003
Humphries, S. P.; Long, D. D.
1987
On Schur rings over infinite groups. Zbl 1453.20006
Bastian, Nicholas; Brewer, Jaden; Humphries, Stephen; Misseldine, Andrew; Thompson, Cache
2020
Weak Cayley table groups. III: $$\mathrm{PSL}(2,q)$$. Zbl 1372.20014
Humphries, Stephen P.; Nguyen, Long
2017
Weak Cayley table groups. II: Alternating groups and finite Coxeter groups. Zbl 1330.20008
Humphries, Stephen P.; Nguyen, Long
2015
Commutative Schur rings over symmetric groups. Zbl 1343.20003
Humphries, Stephen P.
2015
Commutative Schur rings of maximal dimension. Zbl 1338.20001
Humphries, Stephen P.; Johnson, Kenneth W.; Misseldine, Andrew
2015
Character tables of metacyclic groups. Zbl 1316.20004
Humphries, Stephen P.; Skabelund, Dane C.
2015
Weak Cayley tables and generalized centralizer rings of finite groups. Zbl 1280.20002
Humphries, Stephen P.; Rode, Emma L.
2012
Fusions of character tables. III: Fusions of cyclic groups and a generalisation of a condition of Camina. Zbl 1257.20006
Humphries, Stephen P.; Kerby, Brent L.; Johnson, Kenneth W.
2010
Fusions of character tables. II: $$p$$-groups. Zbl 1186.20007
Humphries, Stephen P.; Johnson, Kenneth W.
2009
A note on “Conjugacy classes outside a normal subgroup”. Zbl 1176.20029
Shao, Changguo; Humphries, Stephen; You, Xingzhong; Zhang, Jinshan
2009
Intersection theories and Chebyshev polynomials. III. Zbl 1243.57012
Humphries, Stephen P.
2009
Fusions of character tables and Schur rings of Abelian groups. Zbl 1181.20006
Humphries, Stephen P.; Johnson, Kenneth W.
2008
Counting fundamental paths in certain Garside semigroups. Zbl 1147.20049
Cornwell, Christopher R.; Humphries, Stephen P.
2008
Curves of fixed points of trace maps. Zbl 1143.37031
Humphries, Stephen; Manning, Anthony
2007
Subgroups of pure braid groups generated by powers of Dehn twists. Zbl 1160.20028
Humphries, Stephen P.
2007
Intersection-number operators and Chebyshev polynomials. IV: Non-planar cases. Zbl 1186.57013
Humphries, Stephen P.
2007
Finite Hurwitz braid group actions for Artin groups. Zbl 1109.20030
Humphries, Stephen P.
2004
Finite Hurwitz braid group actions on sequences of Euclidean reflections. Zbl 1040.20031
Humphries, Stephen P.
2003
Torsion-free quotients of braid groups. Zbl 1025.20024
Humphries, Stephen P.
2001
Intersection-number operators for curves on discs. II. Zbl 0989.57006
Humphries, Stephen P.
2001
Intersection-number operators for curves on discs and Chebyshev polynomials. Zbl 1030.11066
Humphries, Stephen P.
2001
Action of braid groups on determinantal ideals, compact spaces and a stratification of Teichmüller space. Zbl 1002.20020
Humphries, Stephen P.
2001
Some linear representations of braid groups. Zbl 1030.20025
Humphries, Stephen P.
2000
Weak Cayley table groups. Zbl 0944.20017
Humphries, Stephen P.
1999
Optimization methods for radiation therapy plans. Zbl 0929.65135
Lodwick, Weldon A.; McCourt, Steve; Newman, Francis; Humphries, Stephen
1999
Cogrowth of groups and the Dedekind-Frobenius group determinant. Zbl 0895.20026
Humphries, Stephen P.
1997
Cogrowth of groups and a matrix of Redheffer. Zbl 0881.20016
Humphries, Stephen P.
1997
On representations of Artin groups and the Tits conjecture. Zbl 0822.20041
Humphries, Stephen P.
1994
Quotients of Coxeter complexes, fundamental groupoids and regular graphs. Zbl 0807.57002
Humphries, Stephen P.
1994
On reducible braids and composite braids. Zbl 0826.57005
Humphries, Stephen P.
1994
An approach to automorphisms of free groups and braids via transvections. Zbl 0757.20006
Humphries, Stephen P.
1992
Normal closures of powers of Dehn twists in mapping class groups. Zbl 0760.57005
Humphries, Stephen P.
1992
Split braids. Zbl 0743.20041
Humphries, Stephen P.
1991
Some subgroups of SL(3,$${\mathbb{Z}})$$ generated by involutions. Zbl 0725.20039
Humphries, Stephen P.
1990
A generalization of winding number functions on surfaces. Zbl 0681.57003
Humphries, Stephen P.; Johnson, Dennis
1989
Free subgroups of $$SL(n,Z),$$ $$n>2$$, generated by transvections. Zbl 0648.20050
Humphries, Stephen P.
1988
On the Mal’cev quotients of certain hyperbolic link groups. Zbl 0641.57003
Humphries, S. P.; Long, D. D.
1987
Orbits under symplectic transvections. I; II: The case $$K=F_ 2$$. Zbl 0604.51008
Brown, Ronald; Humphries, Stephen P.
1986
Generation of special linear groups by transvections. Zbl 0587.20030
Humphries, Stephen P.
1986
On weakly distinguished bases and free generating sets of free groups. Zbl 0563.20026
Humphries, Stephen P.
1985
Graphs and Nielsen transformations of symmetric, orthogonal, and symplectic groups. Zbl 0577.20036
Humphries, Stephen P.
1985
Generators for the mapping class group. Zbl 0732.57004
Humphries, Stephen P.
1979
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#### 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
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#### 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
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#### 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)