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Kropholler, Peter H.

Author ID: kropholler.peter-h Recent zbMATH articles by "Kropholler, Peter H."
Published as: Kropholler, P. H.; Kropholler, Peter H.; Kropholler, Peter
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 583 times in 389 Documents Cited by Year
On groups of type \((FP)_\infty\). Zbl 0816.20042
Kropholler, Peter H.
70
1993
Applications of a new K-theoretic theorem on soluble group rings. Zbl 0691.16013
Kropholler, P. H.; Linnell, P. A.; Moody, J. A.
57
1988
On finitely generated soluble groups with no large wreath product sections. Zbl 0537.20013
Kropholler, P. H.
36
1984
On complete resolutions. Zbl 0878.20035
Cornick, Jonathan; Kropholler, Peter H.
32
1997
Homological finiteness conditions for modules over group algebras. Zbl 0955.20035
Cornick, Jonathan; Kropholler, Peter H.
30
1998
Baumslag-Solitar groups and some other groups of cohomological dimension two. Zbl 0744.20044
Kropholler, P. H.
28
1990
Relative ends and duality groups. Zbl 0691.20036
Kropholler, P. H.; Roller, M. A.
26
1989
Groups acting on finite dimensional spaces with finite stabilizers. Zbl 0927.20033
Kropholler, Peter H.; Mislin, Guido
22
1998
Rational invariants of certain orthogonal and unitary groups. Zbl 0778.12006
Carlisle, David P.; Kropholler, P. H.
21
1992
Cohomological dimension of soluble groups. Zbl 0603.20033
Kropholler, P. H.
19
1986
Cohomological finiteness conditions for elementary amenable groups. Zbl 1202.20055
Kropholler, P. H.; Martínez-Pérez, C.; Nucinkis, B. E. A.
19
2009
An analogue of the torus decomposition theorem for certain Poincaré duality groups. Zbl 0704.20023
Kropholler, P. H.
13
1990
Homological finiteness conditions for modules over strongly group-graded rings. Zbl 0857.16007
Cornick, Jonathan; Kropholler, Peter H.
12
1996
On a property of fundamental groups of graphs of finite groups. Zbl 0741.20030
Kropholler, P. H.; Talelli, Olympia
12
1991
A note on centrality in 3-manifold groups. Zbl 0709.57011
Kropholler, P. H.
11
1990
Splittings of Poincaré duality groups. Zbl 0623.20038
Kropholler, P. H.; Roller, M. A.
11
1988
Powers in finitely generated groups. Zbl 0871.20038
Hrushovski, E.; Kropholler, P. H.; Lubotzky, A.; Shalev, A.
8
1996
A group theoretic proof of the torus theorem. Zbl 0809.57007
Kropholler, Peter H.
8
1993
Soluble groups of type \((FP)_ \infty\) have finite torsion-free rank. Zbl 0806.20031
Kropholler, P. H.
8
1993
A generalization of the Lyndon-Hochschild-Serre spectral sequence with applications to group cohomology and decompositions of groups. Zbl 1115.20042
Kropholler, P. H.
7
2006
Torsion-free soluble groups, completions, and the zero divisor conjecture. Zbl 0666.16007
Crawley-Boevey, W. W.; Kropholler, P. H.; Linnell, P. A.
7
1988
Soluble right orderable groups are locally indicable. Zbl 0802.20035
Chiswell, I. M.; Kropholler, P. H.
7
1993
Dimension of elementary amenable groups. Zbl 1368.20068
Bridson, Martin R.; Kropholler, Peter H.
7
2015
Modules possessing projective resolutions of finite type. Zbl 0931.16005
Kropholler, Peter H.
7
1999
Splittings of Poincaré duality groups. III. Zbl 0687.20046
Kropholler, P. H.; Roller, M. A.
7
1989
Graph-wreath products and finiteness conditions. Zbl 1328.18018
Kropholler, P. H.; Martino, A.
7
2016
A note on the cohomology of metabelian groups. Zbl 0577.20022
Kropholler, P. H.
6
1985
Classifying spaces for proper actions of locally finite groups. Zbl 1060.20035
Dicks, Warren; Kropholler, Peter H.; Leary, Ian J.; Thomas, Simon
6
2002
Torsion in profinite completions. Zbl 0829.20044
Kropholler, Peter H.; Wilson, John S.
6
1993
Hierarchical decompositions, generalized Tate cohomology, and groups of type \((\text{FP})_ \infty\). Zbl 0852.20041
Kropholler, Peter H.
5
1995
On a conjecture of Moore. Zbl 0853.16032
Aljadeff, E.; Cornick, J.; Ginosar, Y.; Kropholler, P. H.
5
1996
Group actions on algebraic cell complexes. Zbl 1216.55007
Kropholler, P. H.; Wall, C. T. C.
5
2011
Groups of small homological dimension and the Atiyah conjecture. Zbl 1211.18014
Kropholler, Peter; Linnell, Peter; Lück, Wolfgang
5
2009
Finiteness conditions in the stable module category. Zbl 1347.20057
Cornick, Jonathan; Emmanouil, Ioannis; Kropholler, Peter; Talelli, Olympia
4
2014
Splittings of Poincaré duality groups. II. Zbl 0687.20045
Kropholler, P. H.; Roller, M. A.
4
1988
Properties of certain semigroups and their potential as platforms for cryptosystems. Zbl 1201.94110
Kropholler, P. H.; Pride, S. J.; Othman, W. A. M.; Wong, K. B.; Wong, P. C.
4
2010
Invariant rings of orthogonal groups over \(\mathbb{F}_2\). Zbl 1103.13007
Kropholler, P. H.; Mohseni Rajaei, S.; Segal, J.
4
2005
On growth of homology torsion in amenable groups. Zbl 1383.20035
Kar, Aditi; Kropholler, Peter; Nikolov, Nikolay
4
2017
On the residual and profinite closures of commensurated subgroups. Zbl 1487.20009
Caprace, Pierre-Emmanuel; Kropholler, Peter H.; Reid, Colin D.; Wesolek, Phillip
4
2020
The cohomology of virtually torsion-free solvable groups of finite rank. Zbl 1369.20043
Kropholler, Peter; Lorensen, Karl
3
2015
Group-graded rings satisfying the strong rank condition. Zbl 1453.16046
Kropholler, Peter; Lorensen, Karl
3
2019
Amenability and right orderable groups. Zbl 0809.20028
Kropholler, P. H.
2
1993
Some remarks on tensor, symmetric and exterior powers of modules over an abelian group. Zbl 0796.20040
Kropholler, P. H.; Stammbach, U.
2
1990
Geometry and cohomology in group theory. Zbl 0991.00031
2
1998
Groups possessing extensive hierarchical decompositions. Zbl 1255.20046
Januszkiewicz, T.; Kropholler, P. H.; Leary, I. J.
2
2010
Virtually torsion-free covers of minimax groups. Zbl 1481.20124
Kropholler, Peter; Lorensen, Karl
2
2020
Groups with many finitary cohomology functors. Zbl 1434.20035
Kropholler, Peter H.
2
2016
The cohomology of soluble groups of finite rank. Zbl 0606.20031
Kropholler, P. H.
1
1986
Free groups and almost equivariant maps. Zbl 0836.20025
Dicks, Warren; Kropholler, Peter
1
1995
Cohomological finiteness conditions. Zbl 0848.20043
Kropholler, Peter H.
1
1995
The consistency of Holt’s conjectures on cohomological dimension of locally finite groups. Zbl 0876.20032
Kropholler, P. H.; Thomas, S.
1
1997
Cohomology of groups. Zbl 0873.20038
Benson, D. J.; Kropholler, P. H.
1
1995
Imaginary groups: lazy monoids and reversible computation. Zbl 1286.68132
Gabbay, Murdoch J.; Kropholler, Peter H.
1
2013
Criteria for asphericity of polyhedral products: corrigenda to “Right-angularity, flag complexes, asphericity”. Zbl 1332.57003
Davis, Michael W.; Kropholler, Peter H.
1
2015
Geometric and cohomological methods in group theory. Papers from the London Mathematical Society symposium on geometry and cohomology in group theory, Durham, UK, July 2003. Zbl 1197.20001
1
2009
Homological finiteness conditions for a class of metabelian groups. Zbl 1428.20050
Kropholler, Peter H.; Mullaney, Joseph P.
1
2018
A property of the lamplighter group. Zbl 1452.20022
Castellano, I.; Cook, G. Corob; Kropholler, P. H.
1
2020
Soluble groups with no \(\mathbb{Z}\wr \mathbb{Z}\) sections. (Groupes résolubles sans section isomorphe à \(\mathbb{Z}\wr\mathbb{Z}\).) Zbl 1479.20026
Jacoboni, Lison; Kropholler, Peter
1
2020
On the residual and profinite closures of commensurated subgroups. Zbl 1487.20009
Caprace, Pierre-Emmanuel; Kropholler, Peter H.; Reid, Colin D.; Wesolek, Phillip
4
2020
Virtually torsion-free covers of minimax groups. Zbl 1481.20124
Kropholler, Peter; Lorensen, Karl
2
2020
A property of the lamplighter group. Zbl 1452.20022
Castellano, I.; Cook, G. Corob; Kropholler, P. H.
1
2020
Soluble groups with no \(\mathbb{Z}\wr \mathbb{Z}\) sections. (Groupes résolubles sans section isomorphe à \(\mathbb{Z}\wr\mathbb{Z}\).) Zbl 1479.20026
Jacoboni, Lison; Kropholler, Peter
1
2020
Group-graded rings satisfying the strong rank condition. Zbl 1453.16046
Kropholler, Peter; Lorensen, Karl
3
2019
Homological finiteness conditions for a class of metabelian groups. Zbl 1428.20050
Kropholler, Peter H.; Mullaney, Joseph P.
1
2018
On growth of homology torsion in amenable groups. Zbl 1383.20035
Kar, Aditi; Kropholler, Peter; Nikolov, Nikolay
4
2017
Graph-wreath products and finiteness conditions. Zbl 1328.18018
Kropholler, P. H.; Martino, A.
7
2016
Groups with many finitary cohomology functors. Zbl 1434.20035
Kropholler, Peter H.
2
2016
Dimension of elementary amenable groups. Zbl 1368.20068
Bridson, Martin R.; Kropholler, Peter H.
7
2015
The cohomology of virtually torsion-free solvable groups of finite rank. Zbl 1369.20043
Kropholler, Peter; Lorensen, Karl
3
2015
Criteria for asphericity of polyhedral products: corrigenda to “Right-angularity, flag complexes, asphericity”. Zbl 1332.57003
Davis, Michael W.; Kropholler, Peter H.
1
2015
Finiteness conditions in the stable module category. Zbl 1347.20057
Cornick, Jonathan; Emmanouil, Ioannis; Kropholler, Peter; Talelli, Olympia
4
2014
Imaginary groups: lazy monoids and reversible computation. Zbl 1286.68132
Gabbay, Murdoch J.; Kropholler, Peter H.
1
2013
Group actions on algebraic cell complexes. Zbl 1216.55007
Kropholler, P. H.; Wall, C. T. C.
5
2011
Properties of certain semigroups and their potential as platforms for cryptosystems. Zbl 1201.94110
Kropholler, P. H.; Pride, S. J.; Othman, W. A. M.; Wong, K. B.; Wong, P. C.
4
2010
Groups possessing extensive hierarchical decompositions. Zbl 1255.20046
Januszkiewicz, T.; Kropholler, P. H.; Leary, I. J.
2
2010
Cohomological finiteness conditions for elementary amenable groups. Zbl 1202.20055
Kropholler, P. H.; Martínez-Pérez, C.; Nucinkis, B. E. A.
19
2009
Groups of small homological dimension and the Atiyah conjecture. Zbl 1211.18014
Kropholler, Peter; Linnell, Peter; Lück, Wolfgang
5
2009
Geometric and cohomological methods in group theory. Papers from the London Mathematical Society symposium on geometry and cohomology in group theory, Durham, UK, July 2003. Zbl 1197.20001
1
2009
A generalization of the Lyndon-Hochschild-Serre spectral sequence with applications to group cohomology and decompositions of groups. Zbl 1115.20042
Kropholler, P. H.
7
2006
Invariant rings of orthogonal groups over \(\mathbb{F}_2\). Zbl 1103.13007
Kropholler, P. H.; Mohseni Rajaei, S.; Segal, J.
4
2005
Classifying spaces for proper actions of locally finite groups. Zbl 1060.20035
Dicks, Warren; Kropholler, Peter H.; Leary, Ian J.; Thomas, Simon
6
2002
Modules possessing projective resolutions of finite type. Zbl 0931.16005
Kropholler, Peter H.
7
1999
Homological finiteness conditions for modules over group algebras. Zbl 0955.20035
Cornick, Jonathan; Kropholler, Peter H.
30
1998
Groups acting on finite dimensional spaces with finite stabilizers. Zbl 0927.20033
Kropholler, Peter H.; Mislin, Guido
22
1998
Geometry and cohomology in group theory. Zbl 0991.00031
2
1998
On complete resolutions. Zbl 0878.20035
Cornick, Jonathan; Kropholler, Peter H.
32
1997
The consistency of Holt’s conjectures on cohomological dimension of locally finite groups. Zbl 0876.20032
Kropholler, P. H.; Thomas, S.
1
1997
Homological finiteness conditions for modules over strongly group-graded rings. Zbl 0857.16007
Cornick, Jonathan; Kropholler, Peter H.
12
1996
Powers in finitely generated groups. Zbl 0871.20038
Hrushovski, E.; Kropholler, P. H.; Lubotzky, A.; Shalev, A.
8
1996
On a conjecture of Moore. Zbl 0853.16032
Aljadeff, E.; Cornick, J.; Ginosar, Y.; Kropholler, P. H.
5
1996
Hierarchical decompositions, generalized Tate cohomology, and groups of type \((\text{FP})_ \infty\). Zbl 0852.20041
Kropholler, Peter H.
5
1995
Free groups and almost equivariant maps. Zbl 0836.20025
Dicks, Warren; Kropholler, Peter
1
1995
Cohomological finiteness conditions. Zbl 0848.20043
Kropholler, Peter H.
1
1995
Cohomology of groups. Zbl 0873.20038
Benson, D. J.; Kropholler, P. H.
1
1995
On groups of type \((FP)_\infty\). Zbl 0816.20042
Kropholler, Peter H.
70
1993
A group theoretic proof of the torus theorem. Zbl 0809.57007
Kropholler, Peter H.
8
1993
Soluble groups of type \((FP)_ \infty\) have finite torsion-free rank. Zbl 0806.20031
Kropholler, P. H.
8
1993
Soluble right orderable groups are locally indicable. Zbl 0802.20035
Chiswell, I. M.; Kropholler, P. H.
7
1993
Torsion in profinite completions. Zbl 0829.20044
Kropholler, Peter H.; Wilson, John S.
6
1993
Amenability and right orderable groups. Zbl 0809.20028
Kropholler, P. H.
2
1993
Rational invariants of certain orthogonal and unitary groups. Zbl 0778.12006
Carlisle, David P.; Kropholler, P. H.
21
1992
On a property of fundamental groups of graphs of finite groups. Zbl 0741.20030
Kropholler, P. H.; Talelli, Olympia
12
1991
Baumslag-Solitar groups and some other groups of cohomological dimension two. Zbl 0744.20044
Kropholler, P. H.
28
1990
An analogue of the torus decomposition theorem for certain Poincaré duality groups. Zbl 0704.20023
Kropholler, P. H.
13
1990
A note on centrality in 3-manifold groups. Zbl 0709.57011
Kropholler, P. H.
11
1990
Some remarks on tensor, symmetric and exterior powers of modules over an abelian group. Zbl 0796.20040
Kropholler, P. H.; Stammbach, U.
2
1990
Relative ends and duality groups. Zbl 0691.20036
Kropholler, P. H.; Roller, M. A.
26
1989
Splittings of Poincaré duality groups. III. Zbl 0687.20046
Kropholler, P. H.; Roller, M. A.
7
1989
Applications of a new K-theoretic theorem on soluble group rings. Zbl 0691.16013
Kropholler, P. H.; Linnell, P. A.; Moody, J. A.
57
1988
Splittings of Poincaré duality groups. Zbl 0623.20038
Kropholler, P. H.; Roller, M. A.
11
1988
Torsion-free soluble groups, completions, and the zero divisor conjecture. Zbl 0666.16007
Crawley-Boevey, W. W.; Kropholler, P. H.; Linnell, P. A.
7
1988
Splittings of Poincaré duality groups. II. Zbl 0687.20045
Kropholler, P. H.; Roller, M. A.
4
1988
Cohomological dimension of soluble groups. Zbl 0603.20033
Kropholler, P. H.
19
1986
The cohomology of soluble groups of finite rank. Zbl 0606.20031
Kropholler, P. H.
1
1986
A note on the cohomology of metabelian groups. Zbl 0577.20022
Kropholler, P. H.
6
1985
On finitely generated soluble groups with no large wreath product sections. Zbl 0537.20013
Kropholler, P. H.
36
1984
all top 5

Cited by 365 Authors

27 Kropholler, Peter H.
11 Romanovskii, N. S.
11 Talelli, Olympia
10 Emmanouil, Ioannis
10 Martínez-Pérez, Conchita
10 Nucinkis, Brita E. A.
7 Jo, Jang Hyun
7 Kochloukova, Dessislava Hristova
7 Petrosyan, Nansen
7 Salarian, Shokrollah
6 Bahlekeh, Abdolnaser
6 Degrijse, Dieter
6 Dembegioti, Fotini
6 Hillman, Jonathan Arthur
6 Lubotzky, Alexander
6 Rhemtulla, Akbar Hussein
6 Smith, Howard
5 Abdollahi, Alireza
5 Aljadeff, Eli
5 Asadollahi, Javad J.
5 Leary, Ian James
5 Lück, Wolfgang
5 Niblo, Graham A.
5 Shalev, Aner
5 Wehrfritz, Bertram A. F.
4 Chen, Yin
4 Cornick, Jonathan
4 Evans, Martin J.
4 Fanti, Ermínia de Lourdes Campello
4 Linnell, Peter Arnold
4 Myasnikov, Alexei G.
4 Robinson, Derek J. S.
4 Sánchez Saldaña, Luis Jorge
4 Scott, G. Peter
4 Sysak, Yaroslav P.
4 Thom, Andreas Berthold
3 Ben-Ezra, David El-Chai
3 Benson, David John
3 Caprace, Pierre-Emmanuel
3 Castellano, Ilaria
3 Delgado, Alberto L.
3 Dicks, Warren
3 Dixon, Martyn Russell
3 Forester, Max
3 Friedl, Stefan
3 Kar, Aditi
3 Kemper, Gregor
3 Kołodziejczyk, Danuta
3 Longobardi, Patrizia
3 Maj, Mercede
3 Nan, Jizhu
3 Pyber, László
3 Rivas, Cristóbal
3 Roller, Martin A.
3 Schreve, Kevin
3 Swarup, Gadde A.
3 Tessera, Romain
3 Timm, Mathew
3 Wilson, John Stuart
3 Wortman, Kevin A.
2 Bieri, Robert
2 Biswas, Rudradip
2 Bowditch, Brian H.
2 Bridson, Martin R.
2 Button, Jack Oliver
2 Carreira Andrade, Maria Gorete
2 Ceccherini-Silberstein, Tullio G.
2 Chu, Huah
2 Coornaert, Michel
2 Corob Cook, Ged
2 de Cornulier, Yves
2 De Falco, Maria
2 de Giovanni, Francesco
2 de la Harpe, Pierre
2 de Mendonça, Luis Augusto
2 Dudkin, Fëdor Anatol’evich
2 Dunwoody, Martin John
2 Flores, Ramón J.
2 Fluch, Martin G.
2 Gandini, Giovanni
2 Ginosar, Yuval
2 Grigorchuk, Rostislav Ivanovich
2 Groves, John R. J.
2 Hurder, Steven E.
2 Jacoboni, Lison
2 Jafari, Fatemeh
2 Jaikin-Zapirain, Andrei
2 Jensen, Craig A.
2 John-Green, Simon St.
2 Krasnikov, A. F.
2 Krön, Bernhard
2 Levitt, Gilbert
2 Li, Hanfeng
2 Lichtman, Alexander I.
2 Liebeck, Martin Walter
2 Lorensen, Karl
2 Lukina, Olga
2 Mahdi Zanjanian, Soraya
2 Marques Ferreira, Jorge Nelio
2 Martínez-Pedroza, Eduardo
...and 265 more Authors
all top 5

Cited in 95 Serials

41 Journal of Algebra
36 Journal of Pure and Applied Algebra
20 Communications in Algebra
15 Groups, Geometry, and Dynamics
14 Proceedings of the American Mathematical Society
14 Journal of Group Theory
13 Geometry & Topology
10 Advances in Mathematics
10 Transactions of the American Mathematical Society
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Algebra and Logic
9 Archiv der Mathematik
9 Topology and its Applications
9 Algebraic & Geometric Topology
8 Annales de l’Institut Fourier
7 International Journal of Algebra and Computation
7 Journal of Topology and Analysis
6 Geometriae Dedicata
5 Bulletin of the Australian Mathematical Society
5 Journal für die Reine und Angewandte Mathematik
5 Mathematische Zeitschrift
5 Journal of Algebra and its Applications
4 Israel Journal of Mathematics
4 Compositio Mathematica
4 Inventiones Mathematicae
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Journal of Knot Theory and its Ramifications
4 Algebra Colloquium
3 Bulletin of the London Mathematical Society
3 Glasgow Mathematical Journal
3 Mathematische Annalen
3 Journal of the American Mathematical Society
3 Algebras and Representation Theory
2 Ukrainian Mathematical Journal
2 Acta Mathematica
2 Duke Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Manuscripta Mathematica
2 Pacific Journal of Mathematics
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Rendiconti del Seminario Matematico della Università di Padova
2 Bulletin of the Iranian Mathematical Society
2 Journal of Symbolic Computation
2 Forum Mathematicum
2 Journal of Algebraic Combinatorics
2 Finite Fields and their Applications
2 Lobachevskii Journal of Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Algebra and Discrete Mathematics
1 Communications in Mathematical Physics
1 Mathematical Notes
1 American Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Journal of Mathematics
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Journal of Graph Theory
1 The Journal of Symbolic Logic
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Results in Mathematics
1 Semigroup Forum
1 Information and Computation
1 Publicacions Matemàtiques
1 International Journal of Mathematics
1 Geometric and Functional Analysis. GAFA
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 SUT Journal of Mathematics
1 Applicable Algebra in Engineering, Communication and Computing
1 New Zealand Journal of Mathematics
1 Experimental Mathematics
1 Annales Mathématiques Blaise Pascal
1 The New York Journal of Mathematics
1 The Bulletin of Symbolic Logic
1 Electronic Research Announcements of the American Mathematical Society
1 Documenta Mathematica
1 Transformation Groups
1 Annals of Mathematics. Second Series
1 Journal of the Australian Mathematical Society
1 Oberwolfach Reports
1 Frontiers of Mathematics in China
1 Journal of Mathematical Cryptology
1 Journal of Topology
1 São Paulo Journal of Mathematical Sciences
1 Kyoto Journal of Mathematics
1 Forum of Mathematics, Sigma
1 European Journal of Mathematics
1 Open Mathematics
1 Winter Braids Lecture Notes
1 Annales Henri Lebesgue
1 Frontiers of Mathematics

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