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## Dovermann, Karl Heinz

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 Author ID: dovermann.karl-heinz Published as: Dovermann, Karl H.; Dovermann, Karl Heinz; Dovermann, Karl-Heinz
 Documents Indexed: 40 Publications since 1979, including 4 Books Reviewing Activity: 174 Reviews
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#### Co-Authors

 11 single-authored 9 Masuda, Mikiya 6 Petrie, Ted 5 Suh, Dong Youp 4 Rothenberg, Melvin G. 4 Schultz, Reinhard E. 3 Little, Robert D. 2 Hanson, Jason 1 Herzog, Marcel 1 Knop, Friedrich 1 Washington, Lawrence C. 1 Wasserman, Arthur G.
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#### Serials

 4 Pacific Journal of Mathematics 3 Topology and its Applications 2 American Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Memoirs of the American Mathematical Society 2 Topology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of the Faculty of Science. Section I A 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Japanese Journal of Mathematics. New Series 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Transformation Groups 1 Central European Journal of Mathematics 1 Lecture Notes in Mathematics
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#### Fields

 37 Manifolds and cell complexes (57-XX) 8 Algebraic geometry (14-XX) 5 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX)

#### Citations contained in zbMATH

34 Publications have been cited 147 times in 77 Documents Cited by Year
G Surgery. II. Zbl 0495.57014
Dovermann, Karl Heinz; Petrie, Ted
1982
Algebraic realization of manifolds with group actions. Zbl 1001.57053
Dovermann, Karl Heinz; Masuda, Mikiya
1995
Equivariant surgery theories and their periodicity properties. Zbl 0712.57001
Dovermann, Karl Heinz; Schultz, Reinhard
1990
Equivariant surgery and classification of finite group actions on manifolds. Zbl 0645.57002
Dovermann, Karl Heinz; Rothenberg, Melvin
1988
Algebraic realization of equivariant vector bundles. Zbl 0787.57016
Dovermann, Karl Heinz; Masuda, Mikiya; Suh, Dong Youp
1994
Transformation groups and fixed point data. Zbl 0597.57021
Dovermann, Karl Heinz; Petrie, Ted; Schultz, Reinhard
1985
Smith equivalence of representations for odd order cyclic groups. Zbl 0597.57014
Dovermann, Karl Heinz; Petrie, Ted
1985
An induction theorem for equivariant surgery. G-surgery. III. Zbl 0535.57020
Dovermann, Karl Heinz; Petrie, Ted
1983
Almost isovariant normal maps. Zbl 0694.57020
Dovermann, Karl Heinz
1989
Artin relation for smooth representations. Zbl 0448.57019
Dovermann, Karl Heinz; Petrie, Ted
1980
An equivariant surgery sequence and equivariant diffeomorphism and homeomorphism classification (A survey). Zbl 0433.57018
Dovermann, Karl Heinz; Rothenberg, Melvin
1980
Uniqueness questions in real algebraic transformation groups. Zbl 1054.14075
Dovermann, Karl Heinz; Masuda, Mikiya
2002
Smith equivalence for finite abelian groups. Zbl 0682.57019
Dovermann, Karl Heinz; Suh, Dong Youp
1992
Relations between cyclotomic units and Smith equivalence of representations. Zbl 0681.57024
Dovermann, Karl Heinz; Washington, Lawrence C.
1989
Rigid cyclic group actions on cohomology complex projective spaces. Zbl 0629.57025
Dovermann, Karl Heinz
1987
Conjugation involutions on homotopy complex projective spaces. Zbl 0632.57021
Dovermann, Karl Heinz; Masuda, Mikiya; Schultz, Reinhard
1986
Equivariant algebraic realization of smooth manifolds and vector bundles. Zbl 0842.14040
Dovermann, Karl Heinz
1995
Topological invariants of real algebraic actions. Zbl 0765.57026
Dovermann, Karl Heinz; Knop, Friedrich; Suh, Dong Youp
1991
Exotic cyclic actions on homotopy complex projective spaces. Zbl 0722.57020
Dovermann, Karl Heinz; Masuda, Mikiya
1990
Fixed point free algebraic actions on varieties diffeomorphic to $$R^ n$$. Zbl 0695.57021
Dovermann, Karl Heinz; Masuda, Mikiya; Petrie, Ted
1989
An algebraic approach to the generalized Whitehead group. Zbl 0613.57020
Dovermann, Karl Heinz; Rothenberg, Melvin
1986
Tensor products of symmetric functions over $$\mathbb Z_2$$. Zbl 1106.13015
Dovermann, Karl Heinz; Hanson, Jason
2005
Gap conditions for representations of symmetric groups. Zbl 0881.57041
Dovermann, Karl Heinz; Herzog, Marcel
1997
Nonisomorphic algebraic models of a smooth manifold with group action. Zbl 0835.14022
Dovermann, Karl Heinz; Masuda, Mikiya; Suh, Dong Youp
1995
Fixed point free low dimensional real algebraic actions of $$A_ 5$$ on contractible varieties. Zbl 0736.57016
Dovermann, Karl Heinz; Masuda, Mikiya
1990
Rigid versus non-rigid cyclic actions. Zbl 0694.57025
Dovermann, Karl Heinz; Masuda, Mikiya; Suh, Dong Youp
1989
The generalized Whitehead torsion of a G fibre homotopy equivalence. Zbl 0678.57022
Dovermann, Karl Heinz; Rothenberg, Melvin
1989
$$Z_ 2$$ surgery theory. Zbl 0491.57014
Dovermann, Karl Heinz
1981
Cohomology complex projective space with degree one codimension-two fixed submanifolds. Zbl 0872.57038
Dovermann, Karl H.; Little, Robert D.
1996
On fixed point actions on spheres (appendix). Zbl 0849.57032
Dovermann, Karl Heinz
1995
Involutions of cohomology complex projective space with codimension-two fixed points. Zbl 0766.55003
Dovermann, Karl Heinz; Little, Robert D.
1992
Surgery of involutions with middle-dimensional fixed point set. Zbl 0656.57021
Dovermann, Karl Heinz; Schultz, Reinhard
1987
Diffeomorphism classification of finite group actions on disks. Zbl 0548.57022
Dovermann, Karl Heinz
1983
Addition of equivariant surgery obstructions. Zbl 0417.57014
Dovermann, Karl Heinz
1979
Tensor products of symmetric functions over $$\mathbb Z_2$$. Zbl 1106.13015
Dovermann, Karl Heinz; Hanson, Jason
2005
Uniqueness questions in real algebraic transformation groups. Zbl 1054.14075
Dovermann, Karl Heinz; Masuda, Mikiya
2002
Gap conditions for representations of symmetric groups. Zbl 0881.57041
Dovermann, Karl Heinz; Herzog, Marcel
1997
Cohomology complex projective space with degree one codimension-two fixed submanifolds. Zbl 0872.57038
Dovermann, Karl H.; Little, Robert D.
1996
Algebraic realization of manifolds with group actions. Zbl 1001.57053
Dovermann, Karl Heinz; Masuda, Mikiya
1995
Equivariant algebraic realization of smooth manifolds and vector bundles. Zbl 0842.14040
Dovermann, Karl Heinz
1995
Nonisomorphic algebraic models of a smooth manifold with group action. Zbl 0835.14022
Dovermann, Karl Heinz; Masuda, Mikiya; Suh, Dong Youp
1995
On fixed point actions on spheres (appendix). Zbl 0849.57032
Dovermann, Karl Heinz
1995
Algebraic realization of equivariant vector bundles. Zbl 0787.57016
Dovermann, Karl Heinz; Masuda, Mikiya; Suh, Dong Youp
1994
Smith equivalence for finite abelian groups. Zbl 0682.57019
Dovermann, Karl Heinz; Suh, Dong Youp
1992
Involutions of cohomology complex projective space with codimension-two fixed points. Zbl 0766.55003
Dovermann, Karl Heinz; Little, Robert D.
1992
Topological invariants of real algebraic actions. Zbl 0765.57026
Dovermann, Karl Heinz; Knop, Friedrich; Suh, Dong Youp
1991
Equivariant surgery theories and their periodicity properties. Zbl 0712.57001
Dovermann, Karl Heinz; Schultz, Reinhard
1990
Exotic cyclic actions on homotopy complex projective spaces. Zbl 0722.57020
Dovermann, Karl Heinz; Masuda, Mikiya
1990
Fixed point free low dimensional real algebraic actions of $$A_ 5$$ on contractible varieties. Zbl 0736.57016
Dovermann, Karl Heinz; Masuda, Mikiya
1990
Almost isovariant normal maps. Zbl 0694.57020
Dovermann, Karl Heinz
1989
Relations between cyclotomic units and Smith equivalence of representations. Zbl 0681.57024
Dovermann, Karl Heinz; Washington, Lawrence C.
1989
Fixed point free algebraic actions on varieties diffeomorphic to $$R^ n$$. Zbl 0695.57021
Dovermann, Karl Heinz; Masuda, Mikiya; Petrie, Ted
1989
Rigid versus non-rigid cyclic actions. Zbl 0694.57025
Dovermann, Karl Heinz; Masuda, Mikiya; Suh, Dong Youp
1989
The generalized Whitehead torsion of a G fibre homotopy equivalence. Zbl 0678.57022
Dovermann, Karl Heinz; Rothenberg, Melvin
1989
Equivariant surgery and classification of finite group actions on manifolds. Zbl 0645.57002
Dovermann, Karl Heinz; Rothenberg, Melvin
1988
Rigid cyclic group actions on cohomology complex projective spaces. Zbl 0629.57025
Dovermann, Karl Heinz
1987
Surgery of involutions with middle-dimensional fixed point set. Zbl 0656.57021
Dovermann, Karl Heinz; Schultz, Reinhard
1987
Conjugation involutions on homotopy complex projective spaces. Zbl 0632.57021
Dovermann, Karl Heinz; Masuda, Mikiya; Schultz, Reinhard
1986
An algebraic approach to the generalized Whitehead group. Zbl 0613.57020
Dovermann, Karl Heinz; Rothenberg, Melvin
1986
Transformation groups and fixed point data. Zbl 0597.57021
Dovermann, Karl Heinz; Petrie, Ted; Schultz, Reinhard
1985
Smith equivalence of representations for odd order cyclic groups. Zbl 0597.57014
Dovermann, Karl Heinz; Petrie, Ted
1985
An induction theorem for equivariant surgery. G-surgery. III. Zbl 0535.57020
Dovermann, Karl Heinz; Petrie, Ted
1983
Diffeomorphism classification of finite group actions on disks. Zbl 0548.57022
Dovermann, Karl Heinz
1983
G Surgery. II. Zbl 0495.57014
Dovermann, Karl Heinz; Petrie, Ted
1982
$$Z_ 2$$ surgery theory. Zbl 0491.57014
Dovermann, Karl Heinz
1981
Artin relation for smooth representations. Zbl 0448.57019
Dovermann, Karl Heinz; Petrie, Ted
1980
An equivariant surgery sequence and equivariant diffeomorphism and homeomorphism classification (A survey). Zbl 0433.57018
Dovermann, Karl Heinz; Rothenberg, Melvin
1980
Addition of equivariant surgery obstructions. Zbl 0417.57014
Dovermann, Karl Heinz
1979
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#### Cited by 64 Authors

 7 Dovermann, Karl Heinz 7 Morimoto, Masaharu 5 Little, Robert D. 5 Petrie, Ted 4 Madsen, Ib Henning 4 Rothenberg, Melvin G. 4 Suh, Dong Youp 4 Weinberger, Shmuel 3 Lück, Wolfgang 3 Masuda, Mikiya 3 Olbermann, Martin 3 Ozan, Yildiray 2 Dotzel, Ronald M. 2 Guaraldo, Francesco 2 Hughes, Bruce 2 Hughes, Mark C. 2 Nagasaki, Ikumitsu 2 Park, Dae Heui 2 Pawałowski, Krzysztof 2 Schultz, Reinhard E. 2 Triantafillou, Georgia Visnjic 2 Yan, Min 1 Assadi, Amir H. 1 Baues, Hans-Joachim 1 Browder, William 1 Cho, Jin-Hwan 1 Choi, Myung-Jun 1 Dessai, Anand Naique 1 Dönmez, Doğan 1 Ferrario, Davide L. 1 Giacomoni, Julien 1 Hamrick, Gary C. 1 Hanson, Jason 1 Herzog, Marcel 1 Hu, Hailiang 1 Huisman, Johannes 1 Ju, Xianmeng 1 Kawakami, Tomohiro 1 Kim, Sungsook 1 Kitada, Yasuhiko 1 Knop, Friedrich 1 Li, Banghe 1 Li, Hui 1 Lü, Zhi 1 Mangolte, Frédéric 1 Mundet i Riera, Ignasi 1 Nagata, Masatsugu 1 Oliver, Bob 1 Özkurt, Ali Arslan 1 Randall, John Denis 1 Ranicki, Andrew A. 1 Reeh, Sune Precht 1 Rosenberg, Jonathan Micah 1 Schwarz, Gerald Walter 1 Słomińska, Jolanta 1 Solomon, Ronald Mark 1 Stanley, Donald A. 1 Steinberger, Mark 1 Sumi, Toshio 1 tom Dieck, Tammo 1 Ushitaki, Fumihiro 1 Wasserman, Arthur G. 1 Yalçın, Ergün 1 Yang, Huajian
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#### Cited in 32 Serials

 14 Topology and its Applications 7 Mathematische Zeitschrift 7 Proceedings of the American Mathematical Society 4 Journal of the Mathematical Society of Japan 4 Journal of Pure and Applied Algebra 4 Transactions of the American Mathematical Society 3 Inventiones Mathematicae 3 Mathematische Annalen 3 $$K$$-Theory 3 Algebraic & Geometric Topology 2 Publications Mathématiques 2 Bulletin of the American Mathematical Society. New Series 2 Transformation Groups 1 Communications on Pure and Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Kodai Mathematical Journal 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Electronic Research Announcements of the American Mathematical Society 1 Advances in Geometry 1 Journal of Topology and Analysis 1 Bollettino dell’Unione Matematica Italiana
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#### Cited in 15 Fields

 64 Manifolds and cell complexes (57-XX) 32 Algebraic topology (55-XX) 13 Algebraic geometry (14-XX) 8 Group theory and generalizations (20-XX) 6 Category theory; homological algebra (18-XX) 6 $$K$$-theory (19-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX)