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Hilton, Peter John

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Author ID: hilton.peter-j Recent zbMATH articles by "Hilton, Peter John"
Published as: Hilton, Peter; Hilton, Peter J.; Hilton, P. J.; Hilton, P.
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Documents Indexed: 320 Publications since 1950, including 29 Books
6 Contributions as Editor
5 Further Contributions
Biographic References: 5 Publications
all top 5

Co-Authors

123 single-authored
61 Pedersen, Jean J.
29 Roitberg, Joseph
24 Eckmann, Beno
14 Deleanu, Aristide
13 Mislin, Guido
11 Stammbach, Urs
6 Griffiths, H. Brian
5 Casacuberta, Carles
5 Ledermann, Walter
5 Scevenels, Dirk
4 Ganea, Tudor
3 Berstein, Israel
3 Dula, Giora
3 Hardie, Keith A.
3 Schuck, Christopher
3 Wu, Yel-Chiang
2 Bekes, Robert A.
2 Frei, Armin
2 Holton, Derek Allan
2 Militello, Robert R.
2 Pressman, Irwin S.
2 Walden, Byron L.
2 Walser, Hans R.
2 Wylie, Shaun
1 Adams, John Frank
1 Albers, Donald J.
1 Baker, Ruth Elizabeth
1 Barratt, M. G.
1 Batey, Mavis
1 Boden, Margaret A.
1 Boggs, Paul T.
1 Bokor, Imre
1 Bowen, Jonathan P.
1 Bucur, Ion
1 Campbell-Kelly, Martin
1 Carpenter, Brian E.
1 Carroll, Tim
1 Cassidy, Charles
1 Castellet, Manuel
1 Caughey, Catherine
1 Copeland, B. Jack
1 Doran, Robert W.
1 Douglas, Roy R.
1 Downey, Rodney Graham
1 Edwards, Harold Mortimer jun.
1 Fay, Temple H.
1 Fenn, Roger A.
1 Finney, Ross L.
1 Grattan-Guinness, Ivor
1 Greenberg, Joel
1 Greenish, Simon
1 Groat, Giuliana
1 Gross, Walter E.
1 Halmos, Paul Richard
1 Hanisch, Herman
1 Hirsch, Warren M.
1 Hirzebruch, Friedrich
1 Hogg, Robert V.
1 Ireland, Eleanor
1 James, Ioan Mackenzie
1 Kaufmann-Bühler, Walter
1 King, Jerry P.
1 Kleisli, Heinrich
1 Koblitz, Neal I.
1 Lax, Anneli
1 Leavitt, David W.
1 Leite, Paulo
1 Long, Jason
1 Long, Richard S.
1 Love, Bruce
1 Lucas, William F.
1 Maini, Philip Kumar
1 Maranda, Jean-Marie
1 Marcum, Howard J.
1 Meltzer, Nancy S.
1 Miles, Ernest P. jun.
1 Miller, George M.
1 Osborn, Howard Ashley
1 Peters, Alice
1 Peters, Klaus-Heinrich
1 Peterson, Franklin P.
1 Pfenninger, Markus
1 Poiani, Eileen L.
1 Postnikov, Mikhail Mikhaĭlovich
1 Poston, Timothy
1 Pour-El, Marian Boykan
1 Prinz, Dani
1 Proudfoot, Diane
1 Quintanar-Zilinskas, Victor
1 Raĭkov, Dmitriĭ Abramovich
1 Ralston, Anthony
1 Randell, Brian
1 Rees, David
1 Remmert, Reinhold W.
1 Richards, Bernard
1 Roberts, Jerry Allan
1 Robertson, Tim
1 Rogers, Hartley jun.
1 Rosenthal, William E.
1 Ross, Peter
...and 33 more Co-Authors
all top 5

Serials

13 Commentarii Mathematici Helvetici
11 International Journal of Mathematics and Mathematical Sciences
9 Fundamenta Mathematicae
9 Proceedings of the Cambridge Philosophical Society
7 Mathematics Magazine
7 Journal of Pure and Applied Algebra
6 The Mathematical Intelligencer
6 Cahiers de Topologie et Géométrie Différentielle Catégoriques
6 Proceedings of the London Mathematical Society. Third Series
6 Southeast Asian Bulletin of Mathematics
6 Publicacions Matemàtiques
5 Mathematische Zeitschrift
5 Proceedings of the American Mathematical Society
5 Bulletin de la Société Matheḿatique de Belgique. Série B
5 Expositiones Mathematicae
5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
4 American Mathematical Monthly
4 Illinois Journal of Mathematics
4 Journal of Algebra
4 The Quarterly Journal of Mathematics. Oxford Second Series
4 Topology
4 Visual Mathematics
4 Bulletin de la Société Mathématique de Belgique
4 Lecture Notes in Mathematics
3 Houston Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Boletim da Sociedade Brasileira de Matemática
3 Canadian Journal of Mathematics
3 The Fibonacci Quarterly
3 Mathematische Annalen
3 Quaestiones Mathematicae
3 Publicacions. Secciò de Matemàtiques
3 L’Enseignement Mathématique. 2e Série
3 Nieuw Archief voor Wiskunde. Vierde Serie
3 Bulletin of the Belgian Mathematical Society - Simon Stevin
3 Bulletin of the American Mathematical Society
3 The College Mathematics Journal
2 Computers & Mathematics with Applications
2 Communications on Pure and Applied Mathematics
2 Educational Studies in Mathematics
2 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Transactions of the American Mathematical Society
2 Topology and its Applications
2 Panamerican Mathematical Journal
2 Elemente der Mathematik
2 Bulletin de la Société Mathématique de Belgique. Série A
2 Acta Mathematica Sinica. New Series
2 Topological Methods in Nonlinear Analysis
2 Annals of Mathematics. Second Series
2 Symmetry: Art and Sciences
2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques
2 Journal of the London Mathematical Society
2 Bulletin de l’Académie Polonaise des Sciences, Classe 3
2 Mathematisch-Physikalische Semesterberichte, Neue Folge
2 Graduate Texts in Mathematics
2 Regional Conference Series in Mathematics
2 Undergraduate Texts in Mathematics
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Communications in Algebra
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 The Mathematical Gazette
1 Menemui Matematik
1 Rocky Mountain Journal of Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Inventiones Mathematicae
1 The Journal of the Indian Mathematical Society. New Series
1 Journal of the London Mathematical Society. Second Series
1 Mathematica Scandinavica
1 Journal of the Nigerian Mathematical Society
1 Forum Mathematicum
1 Mathematical Chronicle
1 Proceedings of the National Academy of Sciences of the United States of America
1 Algebra Colloquium
1 Congressus Numerantium
1 Far East Journal of Mathematical Sciences
1 Journal of the Australian Mathematical Society
1 Rendiconti di Matematica, VI. Serie
1 London Mathematical Society Lecture Note Series
1 North-Holland Mathematics Studies
1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
1 Anais da Academia Brasileira de Ciências
1 Cambridge Tracts in Mathematics and Mathematical Physics
1 MAA Spectrum

Publications by Year

Citations contained in zbMATH Open

206 Publications have been cited 2,028 times in 1,581 Documents Cited by Year
A course in homological algebra. Zbl 0238.18006
Hilton, P. J.; Stammbach, U.
269
1971
Localization of nilpotent groups and spaces. Zbl 0323.55016
Hilton, Peter; Mislin, Guido; Roitberg, Joe
170
1975
A course in homological algebra. 2nd ed. Zbl 0863.18001
Hilton, P. J.; Stammbach, U.
160
1997
Homology theory. An introduction to algebraic topology. Zbl 0091.36306
Hilton, Peter J.; Wylie, S.
122
1960
Catalan numbers, their generalization, and their uses. Zbl 0767.05010
Hilton, Peter; Pedersen, Jean
84
1991
On the homotopy groups of the union of spheres. Zbl 0064.17301
Hilton, Peter J.
80
1955
Group-like structures in general categories. I. Multiplications and comultiplications. Zbl 0099.02101
Eckmann, Beno; Hilton, Peter J.
79
1962
An introduction to homotopy theory. Zbl 0051.40302
Hilton, Peter J.
62
1953
On the chain algebra of a loop space. Zbl 0071.16403
Adams, J. F.; Hilton, Peter J.
60
1956
Category and generalized Hopf invariants. Zbl 0113.38301
Berstein, I.; Hilton, Peter J.
34
1960
On suspensions and comultiplications. Zbl 0115.40403
Berstein, I.; Hilton, Peter J.
24
1963
Homotopy theory and duality. Zbl 0155.50801
Hilton, Peter J.
23
1967
Operators and cooperators in homotopy theory. Zbl 0094.17301
Eckmann, Beno; Hilton, Peter J.
22
1960
On principal \(S^ 3\)-bundles over spheres. Zbl 0159.53903
Hilton, Peter J.; Roitberg, J.
21
1969
Localization and cohomology of nilpotent groups. Zbl 0264.20037
Hilton, Peter
21
1973
On the differentials in the Lyndon-Hochschild-Serre spectral sequence. Zbl 0268.20035
Hilton, Peter; Stammbach, Urs
21
1973
On the homology theory of central group extensions. I: The commutator map and stem extensions. Zbl 0236.20038
Eckmann, Beno; Hilton, Peter J.; Stammbach, Urs
20
1972
Neutral maps of extension functors and a theorem of R.G. Swan. Zbl 0122.03101
Hilton, Peter J.; Rees, D.
19
1961
On the genus of a nilpotent group with finite commutator subgroup. Zbl 0304.20017
Hilton, Peter; Mislin, Guido
17
1976
Group-like structures in general categories. II: Equalizers, limits, lengths. III: Primitive categories. Zbl 0115.01403
Eckmann, Beno; Hilton, Peter J.
16
1963
Homology theory. An introduction to algebraic topology. Reprint. Zbl 0163.17803
Hilton, Peter J.; Wylie, S.
16
1967
On the Zeeman comparison theorem for the homology of quasi-nilpotent fibrations. Zbl 0342.55010
Hilton, Peter; Roitberg, Joseph
16
1976
Exact couples in an Abelian category. Zbl 0178.34306
Eckmann, Beno; Hilton, Peter J.
16
1966
On the categorical shape of a functor. Zbl 0368.18002
Deleanu, Aristide; Hilton, Peter
15
1977
Borsuk shape and a generalization of Grothendieck’s definition of pro- category. Zbl 0327.18004
Deleanu, Aristide; Hilton, Peter
15
1976
Correspondences and exact squares. Zbl 0192.10803
Hilton, Peter J.
15
1966
Nilpotency and H-spaces. Zbl 0152.21901
Hilton, Peter J.
14
1965
On join operations in homotopy groups. Zbl 0053.43403
Barratt, M. G.; Hilton, Peter J.
12
1953
Groupes d’homotopie et dualité. Groupes absolus. Zbl 0092.39901
Eckmann, Beno; Hilton, Peter J.
11
1958
Homotopical localization. Zbl 0259.55006
Hilton, Peter; Mislin, Guido; Roitberg, Joseph
11
1973
On excision and principal fibrations. Zbl 0107.16804
Hilton, Peter J.
10
1961
Generalized Adams completion. Zbl 0291.18003
Deleanu, Aristide; Frei, Armin; Hilton, Peter
10
1974
On the homotopy-commutativity of loop-spaces and suspensions. Zbl 0109.41403
Ganea, T.; Hilton, Peter J.; Peterson, F. P.
9
1962
Unions and intersections in homotopy theory. Zbl 0126.38903
Eckmann, Beno; Hilton, Peter J.
9
1964
Suspension theorems and the generalized Hopf invariant. Zbl 0045.12003
Hilton, Peter J.
9
1951
Note on the Whitehead product. Zbl 0052.19204
Hilton, Peter J.; Whitehead, J. H. C.
9
1953
Homotopy groups of maps and exact sequences. Zbl 0099.17904
Eckmann, Beno; Hilton, Peter J.
9
1960
Structure maps in group theory. Zbl 0104.01703
Eckmann, Beno; Hilton, Peter J.
9
1961
Note on epimorphisms and monomorphisms in homotopy theory. Zbl 0565.55009
Hilton, Peter; Roitberg, Joseph
9
1984
On the homology theory of central group extensions. II: The exact sequence in the general case. Zbl 0246.20041
Eckmann, Beno; Hilton, Peter; Stammbach, Urs
9
1972
On co-H-spaces. Zbl 0372.55009
Hilton, Peter; Mislin, Guido; Roitberg, Joseph
8
1978
Commuting limits with colimits. Zbl 0164.01301
Eckmann, Beno; Hilton, Peter J.
8
1969
On Kan extensions of cohomology theories and Serre classes of groups. Zbl 0226.55011
Deleanu, Aristide; Hilton, Peter
8
1971
On central group extensions and homology. Zbl 0232.18011
Eckmann, B.; Hilton, P. J.
8
1971
Idempotent triples and completion. Zbl 0295.18001
Deleanu, Aristide; Frei, Armin; Hilton, Peter
8
1975
On the homotopy groups of unions of spaces. Zbl 0064.17203
Hilton, Peter J.
7
1955
On the homology and homotopy decomposition of continuous maps. Zbl 0086.37402
Eckmann, Beno; Hilton, Peter J.
7
1959
Calculating the Mislin genus for a certain family of nilpotent groups. Zbl 0742.20034
Casacuberta, Carles; Hilton, Peter
7
1991
Introduction to the theory of categories and functors. With the collaboration of Peter J. Hilton. (Vvedenie v teoriju kategorii i funktorov. S predisloviem Pitera Hiltona.) Übersetzung aus dem Englischen von D. A. Raikov und V. S. Retah. Mit Anmerkungen von D. A. Raikov. Zbl 0239.18001
Bucur, Ion; Deleanu, Aristide
7
1972
Localization of nilpotent spaces. Zbl 0302.55008
Hilton, Peter
7
1974
On the Jordan-Hölder theorem in homological monoids. Zbl 0096.02301
Hilton, Peter J.; Ledermann, W.
6
1960
On G-spaces. Zbl 0381.55007
Hilton, Peter
6
1976
On free maps and free homotopies into nilpotent spaces. Zbl 0389.55012
Hilton, Peter; Mislin, Guido; Roitberg, Joseph; Steiner, Richard
6
1978
Profinite completion and generalizations of a theorem of Blackburn. Zbl 0422.20027
Hilton, Peter; Roitberg, Joseph
6
1979
On a theorem of Schur. Zbl 1050.20021
Hilton, Peter
6
2001
Extending the binomial coefficients to preserve symmetry and pattern. Zbl 0722.05006
Hilton, P.; Pedersen, J.
6
1989
Calculating the genus of a direct product of certain nilpotent groups. Zbl 0849.20021
Hilton, Peter; Scevenels, Dirk
6
1995
Topological localization and nilpotent groups. Zbl 0255.55005
Hilton, Peter; Mislin, Guido; Roitberg, Joseph
6
1972
On torsion in the differentials of the Lyndon-Hochschild-Serre spectral sequence. Zbl 0285.20045
Hilton, Peter; Stammbach, Urs
6
1974
Structural stability, the theory of catastrophes, and applications in the sciences. Proceedings of the conference, held at Battelle Seattle Research Center 1975. Zbl 0322.00015
6
1976
Non-cancellation properties for certain finitely presented groups. Zbl 0621.20020
Hilton, Peter
6
1986
Relative epimorphisms and monomorphisms in homotopy theory. Zbl 0624.55005
Hilton, Peter; Roitberg, Joseph
6
1987
Note on free and direct products in general categories. Zbl 0109.25103
Hilton, Peter J.
5
1961
Generalized means. Zbl 0114.39501
Eckmann, Beno; Ganea, T.; Hilton, Peter J.
5
1962
Mathematical vistas. From a room with many windows. Zbl 1011.00001
Hilton, Peter; Holton, Derek; Pedersen, Jean
5
2002
On the decomposition of spaces in Cartesian products and unions. Zbl 0092.39801
Ganea, Tudor; Hilton, Peter J.
5
1959
Décomposition homologique d’un polyèdre simplement connexe. Zbl 0092.40201
Eckmann, Beno; Hilton, Peter J.
5
1959
The ballot problem and Catalan numbers. Zbl 0714.05002
Hilton, Peter; Pedersen, Jean
5
1990
Bicartesian squares of nilpotent groups. Zbl 0325.20031
Hilton, Peter; Mislin, Guido
5
1975
Generalized C-theory and torsion phenomena in nilpotent spaces. Zbl 0342.55009
Hilton, Peter; Roitberg, Joseph
5
1976
On the genus of nilpotent groups and spaces. Zbl 0602.20030
Hilton, Peter
5
1986
A comprehensive textbook of classical mathematics. A contemporary interpretation. Zbl 0188.00101
Griffiths, H. B.; Hilton, Peter J.
5
1970
On the addition of relations in an abelian category. Zbl 0198.33901
Hilton, Peter J.; Wu, Y.-C.
5
1970
On the Grothendieck group of compact polyhedra. Zbl 0171.44202
Hilton, Peter J.
4
1967
On a generalization of nilpotency to semi-simplicial complexes. Zbl 0126.38902
Hilton, Peter J.
4
1960
Remark on loop spaces. Zbl 0127.13502
Hilton, Peter J.
4
1964
The two-square lemma. Zbl 0699.18003
Fay, Temple H.; Hardie, Keith A.; Hilton, Peter J.
4
1989
On filtered systems of groups, colimits, and Kan extensions. Zbl 0217.06801
Hilton, P. J.
4
1971
A certain triple Whitehead product. Zbl 0055.41803
Hilton, Peter J.
4
1954
A note on the \(P\)-homomorphisms in homotopy groups of spheres. Zbl 0064.17302
Hilton, Peter J.
4
1955
Groupes d’homotopie et dualité. Suites exactes. Zbl 0092.40001
Eckmann, Beno; Hilton, Peter J.
4
1958
Groupes d’homotopie et dualité. Coefficients. Zbl 0092.40101
Eckmann, Beno; Hilton, Peter J.
4
1958
Note on principal \(S^ 3\)-bundles. Zbl 0162.27403
Hilton, Peter J.; Roitberg, J.
4
1968
Sphere bundles over spheres and non-cancellation phenomena. Zbl 0227.55016
Hilton, Peter; Mislin, Guido; Roitberg, Joseph
4
1971
Remark on Cech extensions of cohomology functors. Zbl 0232.55007
Deleanu, Aristide; Hilton, Peter
4
1970
Localization, homology and a construction of Adams. Zbl 0262.55008
Deleanu, Aristide; Hilton, Peter
4
1973
A course in modern algebra. Zbl 0289.18001
Hilton, Peter; Wu, Yel-Chiang
4
1974
Nilpotent actions on nilpotent groups. Zbl 0305.20016
Hilton, Peter
4
1975
Nilpotente Gruppen und nilpotente Räume. Nachdiplomvorlesung gehalten am Mathematik-Departement ETH Zürich 1981/82. (Aufzeichnungen von Markus Pfenniger.). Zbl 0549.55001
Hilton, Peter J.
4
1984
Groups with isomorphic homology groups and non-cancellation in homotopy theory. Zbl 0617.55003
Hilton, Peter
4
1987
Composition functors and spectral sequences. Zbl 0178.34401
Eckmann, Beno; Hilton, Peter J.
4
1966
Putting cofficients into a cohomology theory. I, II. Zbl 0195.24702
Hilton, Peter
4
1970
On pseudo-identities. I. Zbl 0525.20021
Hilton, Peter; Roitberg, Joseph
4
1983
Relative nilpotent groups. Zbl 0489.20030
Hilton, Peter
3
1982
Lusternik-Schnirelmann category in homotopy theory. Zbl 1041.55002
Hilton, Peter
3
2002
Calculations of the homotopy groups of \(A^2_n\)-polyhedra. II. Zbl 0043.38303
Hilton, Peter J.
3
1951
On the Hopf invariant of a composition element. Zbl 0059.16601
Hilton, Peter J.
3
1954
On divisors and multiples of continuous maps. Zbl 0072.18003
Hilton, Peter J.
3
1956
Homology and ringoids. I. Zbl 0081.02303
Hilton, Peter J.; Ledermann, W.
3
1958
Remark on the l. c. m. in a homological ringoid. Zbl 0095.25302
Hilton, Peter J.; Ledermann, W.
3
1960
Mathematics, models, and Magz. I: Patterns in Pascal’s triangle and tetrahedron. Zbl 1246.97021
Hilton, Peter; Pedersen, Jean
1
2012
A mathematical tapestry. Demonstrating the beautiful unity of mathematics. Zbl 1205.00004
Hilton, Peter; Pedersen, Jean
1
2010
Paper-folding, polygons, complete symbols, and the Euler totient function: an ongoing saga connecting geometry, algebra, and number theory. Zbl 1204.11005
Hilton, Peter; Pedersen, Jean; Walden, Byron
1
2008
A theory of PWD-structures. Zbl 1122.55004
Dula, Giora; Hilton, Peter; Marcum, Howard J.
1
2007
On variants of a theorem of Schur. Zbl 1087.20027
Hilton, Peter
1
2005
Foundations of Galois theory. Translated from the 1960 Russian original by Ann Swinfen. With a foreword by P. J. Hilton. Reprint of the 1962 edition. Zbl 1092.12005
Postnikov, M. M.
1
2004
On Pierce-like idempotents and Hopf invariants. Zbl 1036.55003
Dula, Giora; Hilton, Peter
1
2003
Mathematical vistas. From a room with many windows. Zbl 1011.00001
Hilton, Peter; Holton, Derek; Pedersen, Jean
5
2002
Lusternik-Schnirelmann category in homotopy theory. Zbl 1041.55002
Hilton, Peter
3
2002
Morphisms of Mislin genera induced by finite normal subgroups. Zbl 1038.20023
Hilton, P. J.; Witbooi, P. J.
2
2002
On a theorem of Schur. Zbl 1050.20021
Hilton, Peter
6
2001
On the Mislin genus of certain circle bundles and noncancellation. Zbl 1002.55009
Hilton, Peter; Scevenels, Dirk
2
2000
A push-out construction for groups with operators. Zbl 0936.20024
Bokor, Imre; Hilton, Peter
1
1999
Calculating and interpreting the Mislin genus of a special class of nilpotent spaces. Zbl 0938.55019
Hilton, Peter; Scevenels, Dirk
1
1999
A course in homological algebra. 2nd ed. Zbl 0863.18001
Hilton, P. J.; Stammbach, U.
160
1997
On Lucasian numbers. Zbl 0880.11020
Hilton, Peter; Pedersen, Jean; Somer, Lawrence
2
1997
A new look at means on topological spaces. Zbl 0907.55010
Hilton, Peter
1
1997
The Euler characteristic and Pólya’s dream. Zbl 0858.51006
Hilton, Peter; Pedersen, Jean
3
1996
Non-cancellation phenomena in a class of finitely generated nilpotent groups. Zbl 0851.20031
Hilton, Peter; Schuck, Christopher
2
1996
On almost finitely generated nilpotent groups. Zbl 0852.20029
Hilton, Peter; Militello, Robert
1
1996
Calculating the genus of a direct product of certain nilpotent groups. Zbl 0849.20021
Hilton, Peter; Scevenels, Dirk
6
1995
On certain arithmetic properties of Fibonacci and Lucas numbers. Zbl 0838.11010
Hilton, Peter; Pedersen, Jean; Vrancken, Luc
1
1995
On induced morphisms of Mislin genera. Zbl 0832.20056
Hilton, Peter
3
1994
On pairable and copairable morphisms. Zbl 0877.55005
Dula, Giora; Hilton, Peter
1
1994
On the structure of nilpotent groups of a certain type. Zbl 0794.20046
Hilton, P.; Schuck, Ch.
2
1993
Catalan numbers and paths in an integer lattice. (Catalan-Zahlen und Wege in einem ganzzahligen Gitter.) Zbl 0794.05004
Hilton, Peter J.; Pedersen, Jean
1
1993
On nilpotent groups which are finitely generated at every prime. Zbl 0782.20030
Casacuberta, Carles; Hilton, Peter
2
1992
A note on extensions of nilpotent groups. Zbl 0756.55009
Casacuberta, Carles; Hilton, Peter
2
1992
Some remarks on almost finitely generated nilpotent groups. Zbl 0826.20032
Hilton, Peter; Militello, Robert
1
1992
Calculating the genus of certain nilpotent groups. Zbl 0832.20055
Hilton, Peter; Schuck, Christopher
1
1992
Catalan numbers, their generalization, and their uses. Zbl 0767.05010
Hilton, Peter; Pedersen, Jean
84
1991
Calculating the Mislin genus for a certain family of nilpotent groups. Zbl 0742.20034
Casacuberta, Carles; Hilton, Peter
7
1991
Eulerian numbers, pseudo-Eulerian coefficients, and weighted sums in Pascal’s triangle. Zbl 0766.11011
Carroll, Tim; Hilton, Peter; Pedersen, Jean
1
1991
The ballot problem and Catalan numbers. Zbl 0714.05002
Hilton, Peter; Pedersen, Jean
5
1990
Homotopies of nullhomotopies in a module category. I. Zbl 0726.55009
Hardie, Keith; Hilton, Peter
1
1990
Extending the binomial coefficients to preserve symmetry and pattern. Zbl 0722.05006
Hilton, P.; Pedersen, J.
6
1989
The two-square lemma. Zbl 0699.18003
Fay, Temple H.; Hardie, Keith A.; Hilton, Peter J.
4
1989
A course in modern algebra. Reprint of the 1974 original. Zbl 0719.18001
Hilton, Peter; Wu, Yel Chiang
2
1989
On the extended genus of finitely generated Abelian groups. Zbl 0672.20024
Casacuberta, Carles; Hilton, Peter
1
1989
On groups of pseudo-integers. Zbl 0682.20039
Hilton, Peter
3
1988
On the extended genus. Zbl 0682.20040
Hilton, Peter
1
1988
Relative epimorphisms and monomorphisms in homotopy theory. Zbl 0624.55005
Hilton, Peter; Roitberg, Joseph
6
1987
Groups with isomorphic homology groups and non-cancellation in homotopy theory. Zbl 0617.55003
Hilton, Peter
4
1987
Looking into Pascal’s triangle: combinatorics, arithmetic, and geometry. Zbl 0718.05006
Hilton, Peter; Pedersen, Jean
3
1987
On the genus of groups with operators. Zbl 0608.20024
Hilton, Peter
2
1987
In mathematics there are no accidents. Zbl 0655.05003
Hilton, Peter; Pedersen, Jean; Ross, Peter
1
1987
The birth of homological algebra. Zbl 0618.55010
Hilton, Peter
1
1987
Non-cancellation properties for certain finitely presented groups. Zbl 0621.20020
Hilton, Peter
6
1986
On the genus of nilpotent groups and spaces. Zbl 0602.20030
Hilton, Peter
5
1986
The general quasi-order algorithm in number theory. Zbl 0592.10005
Hilton, Peter; Pedersen, Jean
1
1986
On certain algorithms in the practice of geometry and the theory of numbers. Zbl 0583.51017
Hilton, Peter; Pedersen, Jean
1
1985
Folding regular star polygons and number theory. Zbl 0557.51006
Hilton, Peter; Pedersen, Jean
1
1985
On all sorts of automorphisms. Zbl 0599.13007
Hilton, Peter
1
1985
Note on epimorphisms and monomorphisms in homotopy theory. Zbl 0565.55009
Hilton, Peter; Roitberg, Joseph
9
1984
Nilpotente Gruppen und nilpotente Räume. Nachdiplomvorlesung gehalten am Mathematik-Departement ETH Zürich 1981/82. (Aufzeichnungen von Markus Pfenniger.). Zbl 0549.55001
Hilton, Peter J.
4
1984
Regular polygons, star polygons and number theory. Zbl 0538.51018
Hilton, Peter; Pedersen, Jean
1
1984
On pseudo-identities. II. Zbl 0546.20025
Castellet, Manuel; Hilton, Peter; Roitberg, Joseph
1
1984
On special group-automorphisms and their composition. Zbl 0552.20016
Hilton, Peter
1
1984
On pseudo-identities. I. Zbl 0525.20021
Hilton, Peter; Roitberg, Joseph
4
1983
Approximating any regular polygon by folding paper. Zbl 0523.51019
Hilton, Peter; Pedersen, Jean
2
1983
Localization of crossed-modules. Zbl 0533.55007
Hilton, Peter
1
1983
Relative nilpotent groups. Zbl 0489.20030
Hilton, Peter
3
1982
Descartes, Euler, Poincaré, Polya - and polyhedra. Zbl 0489.52009
Hilton, Peter; Pedersen, Jean
1
1981
Mathematics tomorrow. Zbl 0463.00034
1
1981
On a generalization of two exact sequences of Steiner. Zbl 0438.20024
Hilton, Peter; Roitberg, Joseph
1
1980
Duality in homotopy theory: A retrospective essay. Zbl 0447.55005
Hilton, Peter
1
1980
On Postnikov-true families of complexes and the Adams completion. Zbl 0363.55003
Deleanu, Aristide; Hilton, Peter
1
1980
Profinite completion and generalizations of a theorem of Blackburn. Zbl 0422.20027
Hilton, Peter; Roitberg, Joseph
6
1979
On co-H-spaces. Zbl 0372.55009
Hilton, Peter; Mislin, Guido; Roitberg, Joseph
8
1978
On free maps and free homotopies into nilpotent spaces. Zbl 0389.55012
Hilton, Peter; Mislin, Guido; Roitberg, Joseph; Steiner, Richard
6
1978
A comprehensive textbook of classical mathematics. A contemporary interpretation. 2nd ed. Zbl 0391.00001
Griffiths, H. B.; Hilton, P. J.
2
1978
On orbit sets for group actions and localization. Zbl 0472.55007
Hilton, Peter
2
1978
On the categorical shape of a functor. Zbl 0368.18002
Deleanu, Aristide; Hilton, Peter
15
1977
Generalized shape theory. Zbl 0357.55019
Deleanu, Aristide; Hilton, Peter
1
1977
On the genus of a nilpotent group with finite commutator subgroup. Zbl 0304.20017
Hilton, Peter; Mislin, Guido
17
1976
On the Zeeman comparison theorem for the homology of quasi-nilpotent fibrations. Zbl 0342.55010
Hilton, Peter; Roitberg, Joseph
16
1976
Borsuk shape and a generalization of Grothendieck’s definition of pro- category. Zbl 0327.18004
Deleanu, Aristide; Hilton, Peter
15
1976
On G-spaces. Zbl 0381.55007
Hilton, Peter
6
1976
Structural stability, the theory of catastrophes, and applications in the sciences. Proceedings of the conference, held at Battelle Seattle Research Center 1975. Zbl 0322.00015
6
1976
Generalized C-theory and torsion phenomena in nilpotent spaces. Zbl 0342.55009
Hilton, Peter; Roitberg, Joseph
5
1976
On group actions on groups and associated series. Zbl 0366.20036
Hilton, Peter; Stammbach, Urs
2
1976
On localization and isolators. Zbl 0335.20018
Hilton, Peter; Stammbach, Urs
1
1976
Localization of nilpotent groups and spaces. Zbl 0323.55016
Hilton, Peter; Mislin, Guido; Roitberg, Joe
170
1975
Idempotent triples and completion. Zbl 0295.18001
Deleanu, Aristide; Frei, Armin; Hilton, Peter
8
1975
Bicartesian squares of nilpotent groups. Zbl 0325.20031
Hilton, Peter; Mislin, Guido
5
1975
Nilpotent actions on nilpotent groups. Zbl 0305.20016
Hilton, Peter
4
1975
Localization of nilpotent spaces. Zbl 0327.55012
Hilton, Peter
3
1975
Localization in topology. Zbl 0301.55006
Hilton, Peter
1
1975
Generalized Adams completion. Zbl 0291.18003
Deleanu, Aristide; Frei, Armin; Hilton, Peter
10
1974
Localization of nilpotent spaces. Zbl 0302.55008
Hilton, Peter
7
1974
On torsion in the differentials of the Lyndon-Hochschild-Serre spectral sequence. Zbl 0285.20045
Hilton, Peter; Stammbach, Urs
6
1974
A course in modern algebra. Zbl 0289.18001
Hilton, Peter; Wu, Yel-Chiang
4
1974
On direct limits of nilpotent groups. Zbl 0305.20015
Hilton, Peter
3
1974
Localization and cohomology of nilpotent groups. Zbl 0283.20034
Hilton, Peter
2
1974
Two remarks on the homology of group extensions. Zbl 0293.20042
Hilton, Peter; Stammbach, Urs
2
1974
Remarkable squares of homotopy types. Zbl 0381.55002
Hilton, Peter; Mislin, Guido
1
1974
Localization and cohomology of nilpotent groups. Zbl 0264.20037
Hilton, Peter
21
1973
On the differentials in the Lyndon-Hochschild-Serre spectral sequence. Zbl 0268.20035
Hilton, Peter; Stammbach, Urs
21
1973
Homotopical localization. Zbl 0259.55006
Hilton, Peter; Mislin, Guido; Roitberg, Joseph
11
1973
Localization, homology and a construction of Adams. Zbl 0262.55008
Deleanu, Aristide; Hilton, Peter
4
1973
...and 106 more Documents
all top 5

Cited by 1,477 Authors

61 Hilton, Peter John
23 Roitberg, Joseph
18 Félix, Yves
14 Arkowitz, Martin
13 Gonçalves, Daciberg Lima
13 Hardie, Keith A.
12 Stammbach, Urs
11 Baues, Hans-Joachim
11 Frei, Armin
11 Ladra González, Manuel
10 Casali, Maria Rita
10 Lee, Dae-Woong
10 Papadima, Ștefan
10 Thomas, Jean-Claude
10 Witbooi, Peter Joseph
10 Yamaguchi, Toshihiro
9 Casacuberta, Carles
9 Cavicchioli, Alberto
9 Deleanu, Aristide
9 Eckmann, Beno
9 Golasiński, Marek
9 Huebschmann, Johannes
9 Lupton, Gregory M.
9 Mislin, Guido
9 Nomura, Yasutoshi
8 Castillo, Jesús M. F.
8 Ellis, Graham J.
8 Grasselli, Luigi
8 Pedersen, Jean J.
8 Smith, Samuel Bruce
8 Stöhr, Ralph
7 Halperin, Stephen
7 Marcum, Howard J.
7 Murillo-Mas, Aniceto
7 Oda, Nobuyuki
7 Parshall, Brian J.
7 Porter, Timothy
7 Scheerer, Hans
7 Suciu, Alexander I.
7 Wu, Jie
6 Blanc, David Abraham
6 Buijs, Urtzi
6 Casas Miras, José Manuel
6 Dydak, Jerzy
6 Farnsteiner, Rolf
6 Gagliardi, Carlo
6 Grandis, Marco
6 Hess, Kathryn P.
6 Kamps, Klaus Heiner
6 Kono, Akira
6 Lemaire, Jean-Michel
6 Lian, Bong H.
6 Liao, Shijun
5 Anick, David J.
5 Bandieri, Paola
5 Cabello Sánchez, Félix
5 James, Ioan Mackenzie
5 Kołodziejczyk, Danuta
5 Markl, Martin
5 Siegmund Puppe, Dieter
5 R-Grandjeán, Alfredo
5 Robinson, Derek J. S.
5 Rutter, John W.
5 Scevenels, Dirk
5 Shen, Wenhuai
5 Stasheff, James D.
5 Tsuchida, Kisuke
5 Xu, Fei
4 Baumslag, Gilbert
4 Bremner, Murray R.
4 Costoya, Cristina
4 Cristofori, Paola
4 Curtis, Morton L.
4 Dranishnikov, Alexander Nikolaevich
4 Drube, Paul
4 Friedl, Stefan
4 García, Ricardo
4 Geoghegan, Ross
4 Heath, Philip R.
4 Inassaridze, Nikoloz
4 Ivanov, Sergei Olegovich
4 Iwase, Norio
4 Kishimoto, Daisuke
4 Koparal, Sibel
4 Kopylov, Yaroslav Anatol’evich
4 Kropholler, Peter H.
4 Lorensen, Karl
4 MacDonald, John L.
4 Maruyama, Ken-ichi
4 McClendon, James F.
4 Oprea, John F.
4 Peschke, Georg
4 Qi, Feng
4 Romero, Natalia
4 Sati, Hisham
4 Sinha, Dev P.
4 Stanley, Donald A.
4 Stramaccia, Luciano
4 Strebel, Ralph
4 Strom, Jeffrey A.
...and 1,377 more Authors
all top 5

Cited in 283 Serials

147 Journal of Pure and Applied Algebra
100 Transactions of the American Mathematical Society
91 Topology and its Applications
83 Journal of Algebra
77 Proceedings of the American Mathematical Society
72 Mathematische Zeitschrift
39 Mathematische Annalen
35 Communications in Algebra
35 Advances in Mathematics
35 Cahiers de Topologie et Géométrie Différentielle Catégoriques
30 Archiv der Mathematik
25 Israel Journal of Mathematics
25 Manuscripta Mathematica
24 Discrete Mathematics
22 Inventiones Mathematicae
21 Mathematical Proceedings of the Cambridge Philosophical Society
18 Algebraic & Geometric Topology
17 Bulletin of the American Mathematical Society
14 Tohoku Mathematical Journal. Second Series
13 Proceedings of the Edinburgh Mathematical Society. Series II
12 Compositio Mathematica
11 Communications in Mathematical Physics
11 Journal of Homotopy and Related Structures
10 Annales de l’Institut Fourier
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Rendiconti del Seminario Matematico della Università di Padova
10 Applied Categorical Structures
9 Duke Mathematical Journal
8 Journal für die Reine und Angewandte Mathematik
8 Publications of the Research Institute for Mathematical Sciences, Kyoto University
8 Journal of Mathematical Sciences (New York)
7 Journal of Mathematical Analysis and Applications
7 Journal of Geometry and Physics
7 Boletim da Sociedade Brasileira de Matemática
7 Quaestiones Mathematicae
7 Geometry & Topology
6 The Mathematical Intelligencer
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Number Theory
6 Kodai Mathematical Journal
6 European Journal of Combinatorics
6 Acta Applicandae Mathematicae
6 Forum Mathematicum
6 Aequationes Mathematicae
6 Linear Algebra and its Applications
6 Cahiers de Topologie et Géométrie Différentielle Catégoriques
5 Computers & Mathematics with Applications
5 Journal of Mathematical Physics
5 Bulletin de la Société Mathématique de France
5 Geometriae Dedicata
5 Glasgow Mathematical Journal
5 Journal of Soviet Mathematics
5 Memoirs of the American Mathematical Society
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Semigroup Forum
5 Siberian Mathematical Journal
5 \(K\)-Theory
5 Differential Geometry and its Applications
4 International Journal of Theoretical Physics
4 Mathematical Notes
4 Ukrainian Mathematical Journal
4 Acta Mathematica
4 Czechoslovak Mathematical Journal
4 Journal of Geometry
4 Nagoya Mathematical Journal
4 Advances in Applied Mathematics
4 Journal of Symbolic Computation
4 International Journal of Mathematics
4 Expositiones Mathematicae
4 The Electronic Journal of Combinatorics
4 Selecta Mathematica. New Series
4 Journal of Group Theory
4 Algebras and Representation Theory
4 Acta Mathematica Sinica. English Series
4 Communications in Nonlinear Science and Numerical Simulation
4 Mediterranean Journal of Mathematics
4 Proceedings of the Japan Academy
3 General Relativity and Gravitation
3 International Journal of Mathematical Education in Science and Technology
3 Letters in Mathematical Physics
3 Reports on Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Journal of Functional Analysis
3 Mathematica Slovaca
3 Monatshefte für Mathematik
3 Proceedings of the Japan Academy. Series A
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Theoretical Computer Science
3 Bulletin of the Korean Mathematical Society
3 Annals of Pure and Applied Logic
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Annales de l’Institut Henri Poincaré. Physique Théorique
3 Turkish Journal of Mathematics
3 Theory and Applications of Categories
3 Documenta Mathematica
3 Representation Theory
3 Annals of Mathematics. Second Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Algebra and its Applications
...and 183 more Serials
all top 5

Cited in 57 Fields

624 Algebraic topology (55-XX)
318 Group theory and generalizations (20-XX)
287 Category theory; homological algebra (18-XX)
232 Manifolds and cell complexes (57-XX)
140 Associative rings and algebras (16-XX)
121 Combinatorics (05-XX)
109 Nonassociative rings and algebras (17-XX)
74 Algebraic geometry (14-XX)
71 Number theory (11-XX)
59 General topology (54-XX)
50 Differential geometry (53-XX)
44 Commutative algebra (13-XX)
43 Global analysis, analysis on manifolds (58-XX)
39 Quantum theory (81-XX)
34 Functional analysis (46-XX)
30 Topological groups, Lie groups (22-XX)
24 Several complex variables and analytic spaces (32-XX)
20 Computer science (68-XX)
19 \(K\)-theory (19-XX)
15 Special functions (33-XX)
15 Fluid mechanics (76-XX)
14 Mathematical logic and foundations (03-XX)
14 Field theory and polynomials (12-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
13 Convex and discrete geometry (52-XX)
12 Partial differential equations (35-XX)
12 Dynamical systems and ergodic theory (37-XX)
11 History and biography (01-XX)
11 General algebraic systems (08-XX)
11 Ordinary differential equations (34-XX)
10 General and overarching topics; collections (00-XX)
10 Real functions (26-XX)
10 Probability theory and stochastic processes (60-XX)
9 Relativity and gravitational theory (83-XX)
8 Functions of a complex variable (30-XX)
8 Geometry (51-XX)
7 Numerical analysis (65-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Systems theory; control (93-XX)
5 Operator theory (47-XX)
5 Mechanics of particles and systems (70-XX)
5 Biology and other natural sciences (92-XX)
4 Difference and functional equations (39-XX)
4 Abstract harmonic analysis (43-XX)
4 Operations research, mathematical programming (90-XX)
3 Measure and integration (28-XX)
3 Mechanics of deformable solids (74-XX)
3 Mathematics education (97-XX)
2 Approximations and expansions (41-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year

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