Edit Profile (opens in new tab) Thomas, Charles Benedict Compute Distance To: Compute Author ID: thomas.charles-b Published as: Thomas, C. B.; Thomas, Charles B.; Thomas, Charles; Thomas, Ch. B.; Thomas, C. more...less External Links: MGP · GND Documents Indexed: 72 Publications since 1966, including 8 Books 5 Contributions as Editor Reviewing Activity: 82 Reviews Biographic References: 3 Publications Co-Authors: 14 Co-Authors with 22 Joint Publications 269 Co-Co-Authors all top 5 Co-Authors 54 single-authored 6 Geiges, Hansjörg 3 Donaldson, Simon Kirwan 3 Wall, Charles Terence Clegg 2 Adams, John Frank 2 Livesay, George Roger 2 Madsen, Ib Henning 2 May, Jon Peter 1 Barden, Dennis 1 Eliashberg, Yakov Matveevich 1 Giroux, Emmanuel 1 Glover, Henry H. 1 Gunarwardena, J. 1 Kahn, Bruno 1 Leary, Ian James 1 Lee, Ronnie 1 Mislin, Guido 1 Moss, R. M. F. all top 5 Serials 7 Mathematika 5 Mathematische Annalen 3 Journal of Algebra 3 Proceedings of the London Mathematical Society. Third Series 3 London Mathematical Society Lecture Note Series 2 Bulletin of the London Mathematical Society 2 Topology 2 Proceedings of the Cambridge Philosophical Society 2 Bulletin of the American Mathematical Society 2 Cambridge Studies in Advanced Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Compositio Mathematica 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Topology and its Applications 1 Forum Mathematicum 1 Elemente der Mathematik 1 L’Enseignement Mathématique. 2e Série 1 Lecture Notes in Mathematics all top 5 Fields 35 Manifolds and cell complexes (57-XX) 30 Group theory and generalizations (20-XX) 27 Algebraic topology (55-XX) 14 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 Category theory; homological algebra (18-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 \(K\)-theory (19-XX) 3 Topological groups, Lie groups (22-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 236 times in 189 Documents Cited by ▼ Year ▼ The topological spherical space form problem. II: Existence of free actions. Zbl 0348.57019Madsen, I.; Thomas, C. B.; Wall, C. T. C. 32 1976 Almost regular contact manifolds. Zbl 0358.53025Thomas, C. B. 20 1976 Characteristic classes and the cohomology of finite groups. Zbl 0618.20036Thomas, C. B. 19 1986 The oriented homotopy type of compact 3-manifolds. Zbl 0167.21502Thomas, C. B. 17 1969 The topological spherical space form problem. I. Zbl 0206.52403Thomas, C. B.; Wall, C. T. C. 13 1971 Contact topology and the structure of 5-manifolds with \(\pi_1={\mathbb Z}_2\). Zbl 0912.57020Geiges, Hansjörg; Thomas, Charles B. 11 1998 Splitting theorems for certain \(PD^3\)-groups. Zbl 0546.20033Thomas, Charles B. 9 1984 Elliptic structures on 3-manifolds. Zbl 0595.57001Thomas, C. B. 9 1986 Stiefel-Whitney classes of real representations of finite groups. Zbl 0687.55008Gunarwardena, J.; Kahn, B.; Thomas, C. 8 1989 Topological spherical space form problem. III: Dimensional bounds and smoothing. Zbl 0523.57026Madsen, I.; Thomas, C. B.; Wall, C. T. C. 6 1983 Homotopy classification of free actions by finite groups on \(S^3\). Zbl 0435.57015Thomas, C. B. 6 1980 Chern classes of representations. Zbl 0596.20045Thomas, C. B. 5 1986 An integral Riemann-Roch formula for flat line bundles. Zbl 0348.14005Thomas, C. B. 5 1977 Free \(Z^ 2\) and \(Z^ 3\) actions on homotopy spheres. Zbl 0198.28901Livesay, G. R.; Thomas, C. B. 5 1968 Chern classes and metacyclic \(p\)-groups. Zbl 0237.18008Thomas, C. B. 5 1971 Contact structures, equivariant spin bordism, and periodic fundamental groups. Zbl 0983.57017Geiges, Hansjörg; Thomas, Charles B. 4 2001 On Poincaré 3-complexes with binary polyhedral fundamental group. Zbl 0345.57017Thomas, C. B. 4 1977 Hypercontact manifolds. Zbl 0835.53041Geiges, Hansjörg; Thomas, Charles B. 4 1995 Characteristic classes and 2-modular representations for some sporadic simple groups. II. Zbl 0737.20023Thomas, Ch. B. 3 1991 Filtrations on the representation ring of a finite group. Zbl 0529.20038Thomas, C. B. 3 1983 Free finite group actions on S\(^3\). Zbl 0286.57001Lee, Ronnie; Thomas, Charles 3 1973 The integral cohomology ring of \(\mathfrak S_4\). Zbl 0299.20033Thomas, C. B. 3 1975 Nilpotent groups and compact 3-manifolds. Zbl 0157.30701Thomas, Charles 3 1968 Chern classes and groups with periodic cohomology. Zbl 0206.52203Thomas, C. B. 3 1971 Frobenius reciprocity of Hermitian forms. Zbl 0231.18019Thomas, C. B. 3 1971 Geometry of low-dimensional manifolds. 2: Symplectic manifolds and Jones- Witten theory. Proceedings of the Durham symposium, Durham, UK, July 1989. Zbl 0722.00024 2 1990 A reduction theorem for free actions by the group Q(8n;k,\(\ell)\) on \(S^ 3\). Zbl 0607.57024Thomas, C. B. 2 1988 \(3\)-manifolds and \(\text{PD}(3)\)-groups. Zbl 0946.57004Thomas, C. B. 2 1995 A model for the classifying space of an extra special p-group. Zbl 0338.20058Thomas, C. B. 2 1975 A classifying space for the contact pseudogroup. Zbl 0404.53031Thomas, C. B. 2 1979 Algebraic \(K\)-theory and its geometric applications. Zbl 0185.00105 2 1969 Representations of finite and Lie groups. Zbl 1111.20012Thomas, Charles B. 2 2004 On the homotopy set \([B\pi,BG]\) with \(\pi\) finite and G a compact connected Lie group. Zbl 0683.55006Mislin, G.; Thomas, C. 2 1989 Free actions by p-groups on products of spheres and Yagita’s invariant po(G). Zbl 0686.57024Thomas, Ch. B. 2 1989 The selected works of J. Frank Adams. Volumes 1 and 2. Edited by J. P. May and C. B. Thomas. Zbl 0758.01016Adams, J. Frank 1 1992 An introduction to differential manifolds. Zbl 1039.53001Barden, Dennis; Thomas, Charles 1 2003 Elliptic structures on 3-manifolds. Zbl 0621.57019Thomas, C. B. 1 1983 Contact structures on (n-1)-connected \((2n+1)\)-manifolds. Zbl 0642.57014Thomas, C. B. 1 1986 Characteristic classes of representations over imaginary quadratic fields. Zbl 0439.57013Thomas, C. B. 1 1980 Characteristic classes and the cohomology of finite groups. Paperback reprint of the 1986 edition. Zbl 1156.20041Thomas, C. B. 1 2008 Elliptic cohomology. Zbl 0946.55004Thomas, Charles B. 1 2000 Elliptic cohomology. Zbl 0946.55001Thomas, Charles B. 1 1999 Elliptic cohomology of the classifying space of the Mathieu group \(M_{24}\). Zbl 0846.20058Thomas, C. B. 1 1994 Riemann-Roch formulae for group representations. Zbl 0288.18015Thomas, C. B. 1 1973 Homotopically distinct actions of finite groups. Zbl 0176.53103Thomas, C. B. 1 1969 Involutions on homotopy spheres. Zbl 0199.58602Livesay, G. R.; Thomas, C. B. 1 1968 Structures on manifolds defined by cross-sections. Zbl 0219.57018Thomas, C. B. 1 1972 3-dimensional contact geometry (based on lectures of Y. Eliashberg and E. Giroux). Zbl 0866.53023Thomas, C. B. 1 1996 On 3-manifolds with finite solvable fundamental group. Zbl 0407.57033Thomas, C. B. 1 1979 Moonshine and group cohomology. Zbl 1277.20064Thomas, C. B. 1 2010 Moonshine and group cohomology. Zbl 1277.20064Thomas, C. B. 1 2010 Characteristic classes and the cohomology of finite groups. Paperback reprint of the 1986 edition. Zbl 1156.20041Thomas, C. B. 1 2008 Representations of finite and Lie groups. Zbl 1111.20012Thomas, Charles B. 2 2004 An introduction to differential manifolds. Zbl 1039.53001Barden, Dennis; Thomas, Charles 1 2003 Contact structures, equivariant spin bordism, and periodic fundamental groups. Zbl 0983.57017Geiges, Hansjörg; Thomas, Charles B. 4 2001 Elliptic cohomology. Zbl 0946.55004Thomas, Charles B. 1 2000 Elliptic cohomology. Zbl 0946.55001Thomas, Charles B. 1 1999 Contact topology and the structure of 5-manifolds with \(\pi_1={\mathbb Z}_2\). Zbl 0912.57020Geiges, Hansjörg; Thomas, Charles B. 11 1998 3-dimensional contact geometry (based on lectures of Y. Eliashberg and E. Giroux). Zbl 0866.53023Thomas, C. B. 1 1996 Hypercontact manifolds. Zbl 0835.53041Geiges, Hansjörg; Thomas, Charles B. 4 1995 \(3\)-manifolds and \(\text{PD}(3)\)-groups. Zbl 0946.57004Thomas, C. B. 2 1995 Elliptic cohomology of the classifying space of the Mathieu group \(M_{24}\). Zbl 0846.20058Thomas, C. B. 1 1994 The selected works of J. Frank Adams. Volumes 1 and 2. Edited by J. P. May and C. B. Thomas. Zbl 0758.01016Adams, J. Frank 1 1992 Characteristic classes and 2-modular representations for some sporadic simple groups. II. Zbl 0737.20023Thomas, Ch. B. 3 1991 Geometry of low-dimensional manifolds. 2: Symplectic manifolds and Jones- Witten theory. Proceedings of the Durham symposium, Durham, UK, July 1989. Zbl 0722.00024 2 1990 Stiefel-Whitney classes of real representations of finite groups. Zbl 0687.55008Gunarwardena, J.; Kahn, B.; Thomas, C. 8 1989 On the homotopy set \([B\pi,BG]\) with \(\pi\) finite and G a compact connected Lie group. Zbl 0683.55006Mislin, G.; Thomas, C. 2 1989 Free actions by p-groups on products of spheres and Yagita’s invariant po(G). Zbl 0686.57024Thomas, Ch. B. 2 1989 A reduction theorem for free actions by the group Q(8n;k,\(\ell)\) on \(S^ 3\). Zbl 0607.57024Thomas, C. B. 2 1988 Characteristic classes and the cohomology of finite groups. Zbl 0618.20036Thomas, C. B. 19 1986 Elliptic structures on 3-manifolds. Zbl 0595.57001Thomas, C. B. 9 1986 Chern classes of representations. Zbl 0596.20045Thomas, C. B. 5 1986 Contact structures on (n-1)-connected \((2n+1)\)-manifolds. Zbl 0642.57014Thomas, C. B. 1 1986 Splitting theorems for certain \(PD^3\)-groups. Zbl 0546.20033Thomas, Charles B. 9 1984 Topological spherical space form problem. III: Dimensional bounds and smoothing. Zbl 0523.57026Madsen, I.; Thomas, C. B.; Wall, C. T. C. 6 1983 Filtrations on the representation ring of a finite group. Zbl 0529.20038Thomas, C. B. 3 1983 Elliptic structures on 3-manifolds. Zbl 0621.57019Thomas, C. B. 1 1983 Homotopy classification of free actions by finite groups on \(S^3\). Zbl 0435.57015Thomas, C. B. 6 1980 Characteristic classes of representations over imaginary quadratic fields. Zbl 0439.57013Thomas, C. B. 1 1980 A classifying space for the contact pseudogroup. Zbl 0404.53031Thomas, C. B. 2 1979 On 3-manifolds with finite solvable fundamental group. Zbl 0407.57033Thomas, C. B. 1 1979 An integral Riemann-Roch formula for flat line bundles. Zbl 0348.14005Thomas, C. B. 5 1977 On Poincaré 3-complexes with binary polyhedral fundamental group. Zbl 0345.57017Thomas, C. B. 4 1977 The topological spherical space form problem. II: Existence of free actions. Zbl 0348.57019Madsen, I.; Thomas, C. B.; Wall, C. T. C. 32 1976 Almost regular contact manifolds. Zbl 0358.53025Thomas, C. B. 20 1976 The integral cohomology ring of \(\mathfrak S_4\). Zbl 0299.20033Thomas, C. B. 3 1975 A model for the classifying space of an extra special p-group. Zbl 0338.20058Thomas, C. B. 2 1975 Free finite group actions on S\(^3\). Zbl 0286.57001Lee, Ronnie; Thomas, Charles 3 1973 Riemann-Roch formulae for group representations. Zbl 0288.18015Thomas, C. B. 1 1973 Structures on manifolds defined by cross-sections. Zbl 0219.57018Thomas, C. B. 1 1972 The topological spherical space form problem. I. Zbl 0206.52403Thomas, C. B.; Wall, C. T. C. 13 1971 Chern classes and metacyclic \(p\)-groups. Zbl 0237.18008Thomas, C. B. 5 1971 Chern classes and groups with periodic cohomology. Zbl 0206.52203Thomas, C. B. 3 1971 Frobenius reciprocity of Hermitian forms. Zbl 0231.18019Thomas, C. B. 3 1971 The oriented homotopy type of compact 3-manifolds. Zbl 0167.21502Thomas, C. B. 17 1969 Algebraic \(K\)-theory and its geometric applications. Zbl 0185.00105 2 1969 Homotopically distinct actions of finite groups. Zbl 0176.53103Thomas, C. B. 1 1969 Free \(Z^ 2\) and \(Z^ 3\) actions on homotopy spheres. Zbl 0198.28901Livesay, G. R.; Thomas, C. B. 5 1968 Nilpotent groups and compact 3-manifolds. Zbl 0157.30701Thomas, Charles 3 1968 Involutions on homotopy spheres. Zbl 0199.58602Livesay, G. R.; Thomas, C. B. 1 1968 all cited Publications top 5 cited Publications all top 5 Cited by 188 Authors 12 Thomas, Charles Benedict 8 Hillman, Jonathan Arthur 6 Geiges, Hansjörg 6 Gonçalves, Daciberg Lima 5 Yagita, Nobuaki 4 Hambleton, Ian 4 Kahn, Bruno 4 Wang, Kai 3 Boileau, Michel Charles 3 Boyer, Charles P. 3 Eckmann, Beno 3 Eliashberg, Yakov Matveevich 3 Galicki, Krzysztof 3 Ganguly, Jyotirmoy 3 Golasiński, Marek 3 Gonzalo Pérez, Jesús 3 Hendriks, Harrie 3 Huebschmann, Johannes 3 Joshi, Rohit 3 Leary, Ian James 2 Adem, Alejandro 2 Akita, Toshiyuki 2 Banyaga, Augustin 2 Busch, Cornelia Minette 2 Cardenas, Humberto 2 Davis, James Frederic 2 Dyer, Michael N. 2 Evens, Leonard 2 Flores, Ramón J. 2 Giulini, Domenico J. W. 2 Jahren, Bjørn 2 Jo, Jang Hyun 2 Johnson-Freyd, Theo 2 Kahn, Daniel S. 2 Kamishima, Yoshinobu 2 Kwasik, Sławomir 2 Lluís Riera, Emilio 2 Lück, Wolfgang 2 Maher, Joseph 2 Massuyeau, Gwénaël 2 Mazzucchelli, Marco 2 Mislin, Guido 2 Presas, Francisco 2 Rubinstein, J. Hyam 2 Rukimbira, Philippe 2 Spallone, Steven 2 Ünlü, Özgün 2 Yalçın, Ergün 2 Zimmermann, Bruno P. 1 Alekhin, Alexander P. 1 Alzubaidy, Kahtan H. 1 Anderson, Douglas Ross 1 Arjevani, Yossi 1 Atiyah, Michael Francis 1 Austin, Tim D. 1 Barker, Laurence 1 Basu, Samik 1 Baues, Hans-Joachim 1 Bayer-Fluckiger, Eva 1 Benedetti, Gabriele 1 Berestovskiĭ, Valeriĭ Nikolaevich 1 Berrick, A. Jon 1 Bieri, Robert 1 Bleile, Beatrice 1 Borman, Matthew Strom 1 Boyer, Steven 1 Brunetti, Maurizio 1 Calvaruso, Giovanni 1 Casals, Roger 1 Chen, Haimiao 1 Cohen, Joel M. 1 Connolly, Frank 1 Crisp, John D. C. 1 Datta, Mahuya 1 Diatta, André 1 Diethelm, Thomas 1 Erdal, Mehmet Akif 1 Field, Michael J. 1 Foote, Richard M. 1 Gadgil, Siddhartha 1 Generalov, Aleksandr Ivanovich 1 Ginzburg, Viktor L’vovich 1 Glasby, Stephen Peter 1 Gonzalez, Jesus 1 Goodman, Mcfeely Jackson 1 Greenlees, John P. C. 1 Grove, Karsten 1 Guadagnini, Enore 1 Guaschi, John 1 Guillot, Pierre-Louis 1 Gunarwardena, J. 1 Gürel, Basak Zehra 1 Hart, Evelyn L. 1 Hayami, Takao 1 Hernández-Corbato, Luis 1 Hida, Akihiko 1 Hohloch, Sonja 1 Hozoori, Surena 1 İlhan, Aslı Güçlükan 1 Inoguchi, Jun-ichi ...and 88 more Authors all top 5 Cited in 76 Serials 13 Topology and its Applications 11 Transactions of the American Mathematical Society 10 Journal of Pure and Applied Algebra 8 Inventiones Mathematicae 8 Mathematische Annalen 8 Mathematische Zeitschrift 6 Algebraic & Geometric Topology 5 Annales de l’Institut Fourier 5 International Journal of Mathematics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Geometriae Dedicata 4 Journal of Algebra 4 Mathematika 4 Proceedings of the American Mathematical Society 4 Bulletin of the American Mathematical Society 3 Communications in Algebra 3 Israel Journal of Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Bulletin of the London Mathematical Society 3 Journal of Soviet Mathematics 3 Annals of Global Analysis and Geometry 3 Forum Mathematicum 3 Differential Geometry and its Applications 3 Geometry & Topology 2 Archiv der Mathematik 2 Compositio Mathematica 2 Journal of Geometry 2 \(K\)-Theory 2 The Journal of Geometric Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Mediterranean Journal of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Forum of Mathematics, Sigma 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Glasgow Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Note di Matematica 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Revista Matemática Iberoamericana 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Journal of Knot Theory and its Ramifications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Journal of Lie Theory 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Portugaliae Mathematica. Nova Série 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Chebyshevskiĭ Sbornik 1 Journal of \(K\)-Theory 1 Arnold Mathematical Journal 1 Transactions of the American Mathematical Society. Series B 1 Winter Braids Lecture Notes all top 5 Cited in 24 Fields 116 Manifolds and cell complexes (57-XX) 63 Group theory and generalizations (20-XX) 63 Algebraic topology (55-XX) 42 Differential geometry (53-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Category theory; homological algebra (18-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) 6 \(K\)-theory (19-XX) 5 Number theory (11-XX) 5 Associative rings and algebras (16-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year