Edit Profile (opens in new tab) Hilton, Peter John Compute Distance To: Compute Author ID: hilton.peter-j Published as: Hilton, Peter; Hilton, Peter J.; Hilton, P. J.; Hilton, P. more...less External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 320 Publications since 1950, including 29 Books 6 Contributions as Editor · 5 Further Contributions Biographic References: 5 Publications Co-Authors: 69 Co-Authors with 204 Joint Publications 690 Co-Co-Authors 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 all top 5 Fields 96 Algebraic topology (55-XX) 83 Group theory and generalizations (20-XX) 43 Category theory; homological algebra (18-XX) 34 Number theory (11-XX) 28 General and overarching topics; collections (00-XX) 24 Combinatorics (05-XX) 18 History and biography (01-XX) 15 Geometry (51-XX) 14 Manifolds and cell complexes (57-XX) 11 Convex and discrete geometry (52-XX) 7 General topology (54-XX) 5 Commutative algebra (13-XX) 5 Mathematics education (97-XX) 4 Information and communication theory, circuits (94-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 207 Publications have been cited 2,114 times in 1,650 Documents Cited by ▼ Year ▼ A course in homological algebra. Zbl 0238.18006Hilton, P. J.; Stammbach, U. 280 1971 Localization of nilpotent groups and spaces. Zbl 0323.55016Hilton, Peter; Mislin, Guido; Roitberg, Joe 178 1975 A course in homological algebra. 2nd ed. Zbl 0863.18001Hilton, P. J.; Stammbach, U. 174 1997 Homology theory. An introduction to algebraic topology. Zbl 0091.36306Hilton, Peter J.; Wylie, S. 125 1960 Catalan numbers, their generalization, and their uses. Zbl 0767.05010Hilton, Peter; Pedersen, Jean 94 1991 On the homotopy groups of the union of spheres. Zbl 0064.17301Hilton, Peter J. 88 1955 Group-like structures in general categories. I. Multiplications and comultiplications. Zbl 0099.02101Eckmann, Beno; Hilton, Peter J. 87 1962 An introduction to homotopy theory. Zbl 0051.40302Hilton, Peter J. 62 1953 On the chain algebra of a loop space. Zbl 0071.16403Adams, J. F.; Hilton, Peter J. 62 1956 Category and generalized Hopf invariants. Zbl 0113.38301Berstein, I.; Hilton, Peter J. 36 1960 On suspensions and comultiplications. Zbl 0115.40403Berstein, I.; Hilton, Peter J. 24 1963 Homotopy theory and duality. Zbl 0155.50801Hilton, Peter J. 24 1967 Operators and cooperators in homotopy theory. Zbl 0094.17301Eckmann, Beno; Hilton, Peter J. 22 1960 Localization and cohomology of nilpotent groups. Zbl 0264.20037Hilton, Peter 22 1973 Group-like structures in general categories. II: Equalizers, limits, lengths. III: Primitive categories. Zbl 0115.01403Eckmann, Beno; Hilton, Peter J. 21 1963 On principal \(S^ 3\)-bundles over spheres. Zbl 0159.53903Hilton, Peter J.; Roitberg, J. 21 1969 On the differentials in the Lyndon-Hochschild-Serre spectral sequence. Zbl 0268.20035Hilton, Peter; Stammbach, Urs 21 1973 On the homology theory of central group extensions. I: The commutator map and stem extensions. Zbl 0236.20038Eckmann, Beno; Hilton, Peter J.; Stammbach, Urs 20 1972 Neutral maps of extension functors and a theorem of R.G. Swan. Zbl 0122.03101Hilton, Peter J.; Rees, D. 19 1961 Exact couples in an Abelian category. Zbl 0178.34306Eckmann, Beno; Hilton, Peter J. 17 1966 On the genus of a nilpotent group with finite commutator subgroup. Zbl 0304.20017Hilton, Peter; Mislin, Guido 17 1976 On the Zeeman comparison theorem for the homology of quasi-nilpotent fibrations. Zbl 0342.55010Hilton, Peter; Roitberg, Joseph 17 1976 Homology theory. An introduction to algebraic topology. Reprint. Zbl 0163.17803Hilton, Peter J.; Wylie, S. 16 1967 Correspondences and exact squares. Zbl 0192.10803Hilton, Peter J. 15 1966 On the categorical shape of a functor. Zbl 0368.18002Deleanu, Aristide; Hilton, Peter 15 1977 Borsuk shape and a generalization of Grothendieck’s definition of pro- category. Zbl 0327.18004Deleanu, Aristide; Hilton, Peter 15 1976 Nilpotency and H-spaces. Zbl 0152.21901Hilton, Peter J. 14 1965 On join operations in homotopy groups. Zbl 0053.43403Barratt, M. G.; Hilton, Peter J. 12 1953 Groupes d’homotopie et dualité. Groupes absolus. Zbl 0092.39901Eckmann, Beno; Hilton, Peter J. 11 1958 Homotopical localization. Zbl 0259.55006Hilton, Peter; Mislin, Guido; Roitberg, Joseph 11 1973 Note on the Whitehead product. Zbl 0052.19204Hilton, Peter J.; Whitehead, J. H. C. 10 1953 Structure maps in group theory. Zbl 0104.01703Eckmann, Beno; Hilton, Peter J. 10 1961 On excision and principal fibrations. Zbl 0107.16804Hilton, Peter J. 10 1961 Generalized Adams completion. Zbl 0291.18003Deleanu, Aristide; Frei, Armin; Hilton, Peter 10 1974 On central group extensions and homology. Zbl 0232.18011Eckmann, B.; Hilton, P. J. 9 1971 Suspension theorems and the generalized Hopf invariant. Zbl 0045.12003Hilton, Peter J. 9 1951 Homotopy groups of maps and exact sequences. Zbl 0099.17904Eckmann, Beno; Hilton, Peter J. 9 1960 On the homotopy-commutativity of loop-spaces and suspensions. Zbl 0109.41403Ganea, T.; Hilton, Peter J.; Peterson, F. P. 9 1962 Unions and intersections in homotopy theory. Zbl 0126.38903Eckmann, Beno; Hilton, Peter J. 9 1964 Note on epimorphisms and monomorphisms in homotopy theory. Zbl 0565.55009Hilton, Peter; Roitberg, Joseph 9 1984 On the homology theory of central group extensions. II: The exact sequence in the general case. Zbl 0246.20041Eckmann, Beno; Hilton, Peter; Stammbach, Urs 9 1972 Idempotent triples and completion. Zbl 0295.18001Deleanu, Aristide; Frei, Armin; Hilton, Peter 9 1975 On Kan extensions of cohomology theories and Serre classes of groups. Zbl 0226.55011Deleanu, Aristide; Hilton, Peter 8 1971 Commuting limits with colimits. Zbl 0164.01301Eckmann, Beno; Hilton, Peter J. 8 1969 On co-H-spaces. Zbl 0372.55009Hilton, Peter; Mislin, Guido; Roitberg, Joseph 8 1978 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 0239.18001Bucur, Ion; Deleanu, Aristide 8 1972 Calculating the Mislin genus for a certain family of nilpotent groups. Zbl 0742.20034Casacuberta, Carles; Hilton, Peter 7 1991 On the homotopy groups of unions of spaces. Zbl 0064.17203Hilton, Peter J. 7 1955 On the homology and homotopy decomposition of continuous maps. Zbl 0086.37402Eckmann, Beno; Hilton, Peter J. 7 1959 On G-spaces. Zbl 0381.55007Hilton, Peter 7 1976 Localization of nilpotent spaces. Zbl 0302.55008Hilton, Peter 7 1974 Profinite completion and generalizations of a theorem of Blackburn. Zbl 0422.20027Hilton, Peter; Roitberg, Joseph 6 1979 On the Jordan-Hölder theorem in homological monoids. Zbl 0096.02301Hilton, Peter J.; Ledermann, W. 6 1960 Calculating the genus of a direct product of certain nilpotent groups. Zbl 0849.20021Hilton, Peter; Scevenels, Dirk 6 1995 On free maps and free homotopies into nilpotent spaces. Zbl 0389.55012Hilton, Peter; Mislin, Guido; Roitberg, Joseph; Steiner, Richard 6 1978 On a theorem of Schur. Zbl 1050.20021Hilton, Peter 6 2001 The two-square lemma. Zbl 0699.18003Fay, Temple H.; Hardie, Keith A.; Hilton, Peter J. 6 1989 Extending the binomial coefficients to preserve symmetry and pattern. Zbl 0722.05006Hilton, P.; Pedersen, J. 6 1989 Topological localization and nilpotent groups. Zbl 0255.55005Hilton, Peter; Mislin, Guido; Roitberg, Joseph 6 1972 On torsion in the differentials of the Lyndon-Hochschild-Serre spectral sequence. Zbl 0285.20045Hilton, Peter; Stammbach, Urs 6 1974 A course in modern algebra. Zbl 0289.18001Hilton, Peter; Wu, Yel-Chiang 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 0621.20020Hilton, Peter 6 1986 Relative epimorphisms and monomorphisms in homotopy theory. Zbl 0624.55005Hilton, Peter; Roitberg, Joseph 6 1987 On the addition of relations in an abelian category. Zbl 0198.33901Hilton, Peter J.; Wu, Y.-C. 5 1970 On the Grothendieck group of compact polyhedra. Zbl 0171.44202Hilton, Peter J. 5 1967 A comprehensive textbook of classical mathematics. A contemporary interpretation. Zbl 0188.00101Griffiths, H. B.; Hilton, Peter J. 5 1970 On divisors and multiples of continuous maps. Zbl 0072.18003Hilton, Peter J. 5 1956 On the decomposition of spaces in Cartesian products and unions. Zbl 0092.39801Ganea, Tudor; Hilton, Peter J. 5 1959 Décomposition homologique d’un polyèdre simplement connexe. Zbl 0092.40201Eckmann, Beno; Hilton, Peter J. 5 1959 Note on free and direct products in general categories. Zbl 0109.25103Hilton, Peter J. 5 1961 Generalized means. Zbl 0114.39501Eckmann, Beno; Ganea, T.; Hilton, Peter J. 5 1962 Mathematical vistas. From a room with many windows. Zbl 1011.00001Hilton, Peter; Holton, Derek; Pedersen, Jean 5 2002 The ballot problem and Catalan numbers. Zbl 0714.05002Hilton, Peter; Pedersen, Jean 5 1990 Bicartesian squares of nilpotent groups. Zbl 0325.20031Hilton, Peter; Mislin, Guido 5 1975 Generalized C-theory and torsion phenomena in nilpotent spaces. Zbl 0342.55009Hilton, Peter; Roitberg, Joseph 5 1976 On the genus of nilpotent groups and spaces. Zbl 0602.20030Hilton, Peter 5 1986 Putting cofficients into a cohomology theory. I, II. Zbl 0195.24702Hilton, Peter 4 1970 On filtered systems of groups, colimits, and Kan extensions. Zbl 0217.06801Hilton, P. J. 4 1971 Sphere bundles over spheres and non-cancellation phenomena. Zbl 0227.55016Hilton, Peter; Mislin, Guido; Roitberg, Joseph 4 1971 Remark on Cech extensions of cohomology functors. Zbl 0232.55007Deleanu, Aristide; Hilton, Peter 4 1970 Composition functors and spectral sequences. Zbl 0178.34401Eckmann, Beno; Hilton, Peter J. 4 1966 A certain triple Whitehead product. Zbl 0055.41803Hilton, Peter J. 4 1954 A note on the \(P\)-homomorphisms in homotopy groups of spheres. Zbl 0064.17302Hilton, Peter J. 4 1955 Groupes d’homotopie et dualité. Suites exactes. Zbl 0092.40001Eckmann, Beno; Hilton, Peter J. 4 1958 Groupes d’homotopie et dualité. Coefficients. Zbl 0092.40101Eckmann, Beno; Hilton, Peter J. 4 1958 On a generalization of nilpotency to semi-simplicial complexes. Zbl 0126.38902Hilton, Peter J. 4 1960 Remark on loop spaces. Zbl 0127.13502Hilton, Peter J. 4 1964 The Euler characteristic and Pólya’s dream. Zbl 0858.51006Hilton, Peter; Pedersen, Jean 4 1996 Note on principal \(S^ 3\)-bundles. Zbl 0162.27403Hilton, Peter J.; Roitberg, J. 4 1968 On pseudo-identities. I. Zbl 0525.20021Hilton, Peter; Roitberg, Joseph 4 1983 Nilpotente Gruppen und nilpotente Räume. Nachdiplomvorlesung gehalten am Mathematik-Departement ETH Zürich 1981/82. (Aufzeichnungen von Markus Pfenniger.). Zbl 0549.55001Hilton, Peter J. 4 1984 Localization, homology and a construction of Adams. Zbl 0262.55008Deleanu, Aristide; Hilton, Peter 4 1973 Nilpotent actions on nilpotent groups. Zbl 0305.20016Hilton, Peter 4 1975 Localization of nilpotent spaces. Zbl 0327.55012Hilton, Peter 4 1975 Groups with isomorphic homology groups and non-cancellation in homotopy theory. Zbl 0617.55003Hilton, Peter 4 1987 Filtrations, associated graded objects and completions. Zbl 0204.03101Eckmann, B.; Hilton, P. J. 3 1967 Note on quasifibrations and fibre bundles. Zbl 0205.27801Hilton, P.; Roitberg, J. 3 1971 On the classification problem for \(H\)-spaces of rank two. Zbl 0205.53202Hilton, P. J.; Roitberg, J. 3 1970 Extensions of functors on groups and coefficients in a cohomology theory. Zbl 0229.18011Hilton, Peter 3 1971 Mathematics, models, and Magz. I: Patterns in Pascal’s triangle and tetrahedron. Zbl 1246.97021Hilton, Peter; Pedersen, Jean 2 2012 A mathematical tapestry. Demonstrating the beautiful unity of mathematics. Zbl 1205.00004Hilton, 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 1204.11005Hilton, Peter; Pedersen, Jean; Walden, Byron 1 2008 A theory of PWD-structures. Zbl 1122.55004Dula, Giora; Hilton, Peter; Marcum, Howard J. 1 2007 On variants of a theorem of Schur. Zbl 1087.20027Hilton, 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 1092.12005Postnikov, M. M. 1 2004 On Pierce-like idempotents and Hopf invariants. Zbl 1036.55003Dula, Giora; Hilton, Peter 1 2003 Mathematical vistas. From a room with many windows. Zbl 1011.00001Hilton, Peter; Holton, Derek; Pedersen, Jean 5 2002 Lusternik-Schnirelmann category in homotopy theory. Zbl 1041.55002Hilton, Peter 3 2002 Morphisms of Mislin genera induced by finite normal subgroups. Zbl 1038.20023Hilton, P. J.; Witbooi, P. J. 2 2002 On a theorem of Schur. Zbl 1050.20021Hilton, Peter 6 2001 On the Mislin genus of certain circle bundles and noncancellation. Zbl 1002.55009Hilton, Peter; Scevenels, Dirk 2 2000 A push-out construction for groups with operators. Zbl 0936.20024Bokor, Imre; Hilton, Peter 1 1999 Calculating and interpreting the Mislin genus of a special class of nilpotent spaces. Zbl 0938.55019Hilton, Peter; Scevenels, Dirk 1 1999 A course in homological algebra. 2nd ed. Zbl 0863.18001Hilton, P. J.; Stammbach, U. 174 1997 On Lucasian numbers. Zbl 0880.11020Hilton, Peter; Pedersen, Jean; Somer, Lawrence 3 1997 A new look at means on topological spaces. Zbl 0907.55010Hilton, Peter 1 1997 The Euler characteristic and Pólya’s dream. Zbl 0858.51006Hilton, Peter; Pedersen, Jean 4 1996 Non-cancellation phenomena in a class of finitely generated nilpotent groups. Zbl 0851.20031Hilton, Peter; Schuck, Christopher 2 1996 On almost finitely generated nilpotent groups. Zbl 0852.20029Hilton, Peter; Militello, Robert 1 1996 Calculating the genus of a direct product of certain nilpotent groups. Zbl 0849.20021Hilton, Peter; Scevenels, Dirk 6 1995 On certain arithmetic properties of Fibonacci and Lucas numbers. Zbl 0838.11010Hilton, Peter; Pedersen, Jean; Vrancken, Luc 1 1995 On induced morphisms of Mislin genera. Zbl 0832.20056Hilton, Peter 3 1994 On pairable and copairable morphisms. Zbl 0877.55005Dula, Giora; Hilton, Peter 1 1994 On the structure of nilpotent groups of a certain type. Zbl 0794.20046Hilton, P.; Schuck, Ch. 2 1993 On some contributions of Karol Borsuk to homotopy theory. Zbl 0782.01032Hilton, P. 1 1993 Catalan numbers and paths in an integer lattice. (Catalan-Zahlen und Wege in einem ganzzahligen Gitter.) Zbl 0794.05004Hilton, Peter J.; Pedersen, Jean 1 1993 A note on extensions of nilpotent groups. Zbl 0756.55009Casacuberta, Carles; Hilton, Peter 2 1992 On nilpotent groups which are finitely generated at every prime. Zbl 0782.20030Casacuberta, Carles; Hilton, Peter 2 1992 Some remarks on almost finitely generated nilpotent groups. Zbl 0826.20032Hilton, Peter; Militello, Robert 1 1992 Calculating the genus of certain nilpotent groups. Zbl 0832.20055Hilton, Peter; Schuck, Christopher 1 1992 Catalan numbers, their generalization, and their uses. Zbl 0767.05010Hilton, Peter; Pedersen, Jean 94 1991 Calculating the Mislin genus for a certain family of nilpotent groups. Zbl 0742.20034Casacuberta, Carles; Hilton, Peter 7 1991 Eulerian numbers, pseudo-Eulerian coefficients, and weighted sums in Pascal’s triangle. Zbl 0766.11011Carroll, Tim; Hilton, Peter; Pedersen, Jean 1 1991 The ballot problem and Catalan numbers. Zbl 0714.05002Hilton, Peter; Pedersen, Jean 5 1990 Homotopies of nullhomotopies in a module category. I. Zbl 0726.55009Hardie, Keith; Hilton, Peter 1 1990 The two-square lemma. Zbl 0699.18003Fay, Temple H.; Hardie, Keith A.; Hilton, Peter J. 6 1989 Extending the binomial coefficients to preserve symmetry and pattern. Zbl 0722.05006Hilton, P.; Pedersen, J. 6 1989 A course in modern algebra. Reprint of the 1974 original. Zbl 0719.18001Hilton, Peter; Wu, Yel Chiang 2 1989 On the extended genus of finitely generated Abelian groups. Zbl 0672.20024Casacuberta, Carles; Hilton, Peter 1 1989 On groups of pseudo-integers. Zbl 0682.20039Hilton, Peter 3 1988 On the extended genus. Zbl 0682.20040Hilton, Peter 1 1988 Relative epimorphisms and monomorphisms in homotopy theory. Zbl 0624.55005Hilton, Peter; Roitberg, Joseph 6 1987 Groups with isomorphic homology groups and non-cancellation in homotopy theory. Zbl 0617.55003Hilton, Peter 4 1987 Looking into Pascal’s triangle: combinatorics, arithmetic, and geometry. Zbl 0718.05006Hilton, Peter; Pedersen, Jean 3 1987 On the genus of groups with operators. Zbl 0608.20024Hilton, Peter 2 1987 In mathematics there are no accidents. Zbl 0655.05003Hilton, Peter; Pedersen, Jean; Ross, Peter 1 1987 The birth of homological algebra. Zbl 0618.55010Hilton, Peter 1 1987 Non-cancellation properties for certain finitely presented groups. Zbl 0621.20020Hilton, Peter 6 1986 On the genus of nilpotent groups and spaces. Zbl 0602.20030Hilton, Peter 5 1986 The general quasi-order algorithm in number theory. Zbl 0592.10005Hilton, Peter; Pedersen, Jean 1 1986 On certain algorithms in the practice of geometry and the theory of numbers. Zbl 0583.51017Hilton, Peter; Pedersen, Jean 1 1985 Folding regular star polygons and number theory. Zbl 0557.51006Hilton, Peter; Pedersen, Jean 1 1985 On all sorts of automorphisms. Zbl 0599.13007Hilton, Peter 1 1985 Note on epimorphisms and monomorphisms in homotopy theory. Zbl 0565.55009Hilton, Peter; Roitberg, Joseph 9 1984 Nilpotente Gruppen und nilpotente Räume. Nachdiplomvorlesung gehalten am Mathematik-Departement ETH Zürich 1981/82. (Aufzeichnungen von Markus Pfenniger.). Zbl 0549.55001Hilton, Peter J. 4 1984 Regular polygons, star polygons and number theory. Zbl 0538.51018Hilton, Peter; Pedersen, Jean 1 1984 On pseudo-identities. II. Zbl 0546.20025Castellet, Manuel; Hilton, Peter; Roitberg, Joseph 1 1984 On special group-automorphisms and their composition. Zbl 0552.20016Hilton, Peter 1 1984 On pseudo-identities. I. Zbl 0525.20021Hilton, Peter; Roitberg, Joseph 4 1983 Approximating any regular polygon by folding paper. Zbl 0523.51019Hilton, Peter; Pedersen, Jean 2 1983 Localization of crossed-modules. Zbl 0533.55007Hilton, Peter 1 1983 Relative nilpotent groups. Zbl 0489.20030Hilton, Peter 3 1982 Mathematics tomorrow. Zbl 0463.00034 1 1981 Descartes, Euler, Poincaré, Polya - and polyhedra. Zbl 0489.52009Hilton, Peter; Pedersen, Jean 1 1981 Duality in homotopy theory: A retrospective essay. Zbl 0447.55005Hilton, Peter 2 1980 On a generalization of two exact sequences of Steiner. Zbl 0438.20024Hilton, Peter; Roitberg, Joseph 1 1980 On Postnikov-true families of complexes and the Adams completion. Zbl 0363.55003Deleanu, Aristide; Hilton, Peter 1 1980 Profinite completion and generalizations of a theorem of Blackburn. Zbl 0422.20027Hilton, Peter; Roitberg, Joseph 6 1979 On co-H-spaces. Zbl 0372.55009Hilton, Peter; Mislin, Guido; Roitberg, Joseph 8 1978 On free maps and free homotopies into nilpotent spaces. Zbl 0389.55012Hilton, Peter; Mislin, Guido; Roitberg, Joseph; Steiner, Richard 6 1978 A comprehensive textbook of classical mathematics. A contemporary interpretation. 2nd ed. Zbl 0391.00001Griffiths, H. B.; Hilton, P. J. 3 1978 On orbit sets for group actions and localization. Zbl 0472.55007Hilton, Peter 2 1978 On the categorical shape of a functor. Zbl 0368.18002Deleanu, Aristide; Hilton, Peter 15 1977 Generalized shape theory. Zbl 0357.55019Deleanu, Aristide; Hilton, Peter 1 1977 On the genus of a nilpotent group with finite commutator subgroup. Zbl 0304.20017Hilton, Peter; Mislin, Guido 17 1976 On the Zeeman comparison theorem for the homology of quasi-nilpotent fibrations. Zbl 0342.55010Hilton, Peter; Roitberg, Joseph 17 1976 Borsuk shape and a generalization of Grothendieck’s definition of pro- category. Zbl 0327.18004Deleanu, Aristide; Hilton, Peter 15 1976 On G-spaces. Zbl 0381.55007Hilton, Peter 7 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 0342.55009Hilton, Peter; Roitberg, Joseph 5 1976 On group actions on groups and associated series. Zbl 0366.20036Hilton, Peter; Stammbach, Urs 2 1976 On localization and isolators. Zbl 0335.20018Hilton, Peter; Stammbach, Urs 1 1976 Localization of nilpotent groups and spaces. Zbl 0323.55016Hilton, Peter; Mislin, Guido; Roitberg, Joe 178 1975 Idempotent triples and completion. Zbl 0295.18001Deleanu, Aristide; Frei, Armin; Hilton, Peter 9 1975 Bicartesian squares of nilpotent groups. Zbl 0325.20031Hilton, Peter; Mislin, Guido 5 1975 Nilpotent actions on nilpotent groups. Zbl 0305.20016Hilton, Peter 4 1975 Localization of nilpotent spaces. Zbl 0327.55012Hilton, Peter 4 1975 Localization in topology. Zbl 0301.55006Hilton, Peter 1 1975 Generalized Adams completion. Zbl 0291.18003Deleanu, Aristide; Frei, Armin; Hilton, Peter 10 1974 Localization of nilpotent spaces. Zbl 0302.55008Hilton, Peter 7 1974 On torsion in the differentials of the Lyndon-Hochschild-Serre spectral sequence. Zbl 0285.20045Hilton, Peter; Stammbach, Urs 6 1974 A course in modern algebra. Zbl 0289.18001Hilton, Peter; Wu, Yel-Chiang 6 1974 On direct limits of nilpotent groups. Zbl 0305.20015Hilton, Peter 3 1974 Localization and cohomology of nilpotent groups. Zbl 0283.20034Hilton, Peter 2 1974 Two remarks on the homology of group extensions. Zbl 0293.20042Hilton, Peter; Stammbach, Urs 2 1974 Remarkable squares of homotopy types. Zbl 0381.55002Hilton, Peter; Mislin, Guido 1 1974 Localization and cohomology of nilpotent groups. Zbl 0264.20037Hilton, Peter 22 1973 On the differentials in the Lyndon-Hochschild-Serre spectral sequence. Zbl 0268.20035Hilton, Peter; Stammbach, Urs 21 1973 Homotopical localization. Zbl 0259.55006Hilton, Peter; Mislin, Guido; Roitberg, Joseph 11 1973 ...and 107 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,560 Authors 61 Hilton, Peter John 23 Roitberg, Joseph 19 Félix, Yves 14 Arkowitz, Martin 13 Gonçalves, Daciberg Lima 13 Hardie, Keith A. 13 Lee, Dae-Woong 12 Stammbach, Urs 11 Baues, Hans-Joachim 11 Frei, Armin 11 Ladra González, Manuel 10 Casali, Maria Rita 10 Castillo, Jesús M. F. 10 Cavicchioli, Alberto 10 Golasiński, Marek 10 Huebschmann, Johannes 10 Lupton, Gregory M. 10 Papadima, Ștefan 10 Thomas, Jean-Claude 10 Witbooi, Peter Joseph 10 Yamaguchi, Toshihiro 9 Casacuberta, Carles 9 Deleanu, Aristide 9 Eckmann, Beno 9 Mislin, Guido 9 Nomura, Yasutoshi 8 Ellis, Graham J. 8 Grasselli, Luigi 8 Murillo-Mas, Aniceto 8 Pedersen, Jean J. 8 Smith, Samuel Bruce 8 Stöhr, Ralph 7 Blanc, David Abraham 7 Casas Miras, José Manuel 7 Halperin, Stephen 7 Marcum, Howard J. 7 Oda, Nobuyuki 7 Parshall, Brian J. 7 Porter, Timothy 7 Scheerer, Hans 7 Suciu, Alexander I. 7 Wu, Jie 6 Buijs, Urtzi 6 Cabello Sánchez, Félix 6 Dydak, Jerzy 6 Farnsteiner, Rolf 6 Friedl, Stefan 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 6 Stasheff, James D. 5 Anick, David J. 5 Bandieri, Paola 5 Dranishnikov, Alexander Nikolaevich 5 Ivanov, Sergei Olegovich 5 James, Ioan Mackenzie 5 Kołodziejczyk, Danuta 5 Kopylov, Yaroslav Anatol’evich 5 Markl, Martin 5 Oprea, John F. 5 Siegmund Puppe, Dieter 5 R-Grandjeán, Alfredo 5 Robinson, Derek J. S. 5 Rutter, John W. 5 Scevenels, Dirk 5 Shen, Wenhuai 5 Simsek, Yilmaz 5 Tsuchida, Kisuke 5 Xu, Fei 4 Baumslag, Gilbert 4 Bremner, Murray R. 4 Costoya, Cristina 4 Cristofori, Paola 4 Curtis, Morton L. 4 Drube, Paul 4 García, Ricardo 4 Geoghegan, Ross 4 Heath, Philip R. 4 Inassaridze, Nikoloz 4 Iwase, Norio 4 Kishimoto, Daisuke 4 Koparal, Sibel 4 Kropholler, Peter H. 4 Lorensen, Karl 4 MacDonald, John L. 4 Maruyama, Ken-ichi 4 McClendon, James F. 4 Moreno, Yolanda 4 Peschke, Georg 4 Qi, Feng 4 Romero, Natalia 4 Sati, Hisham 4 Sinha, Dev P. 4 Stanley, Donald 4 Stramaccia, Luciano ...and 1,460 more Authors all top 5 Cited in 299 Serials 150 Journal of Pure and Applied Algebra 102 Transactions of the American Mathematical Society 94 Topology and its Applications 84 Journal of Algebra 78 Proceedings of the American Mathematical Society 75 Mathematische Zeitschrift 39 Mathematische Annalen 36 Communications in Algebra 36 Advances in Mathematics 35 Cahiers de Topologie et Géométrie Différentielle Catégoriques 30 Archiv der Mathematik 25 Discrete Mathematics 25 Israel Journal of Mathematics 25 Manuscripta Mathematica 23 Inventiones Mathematicae 22 Mathematical Proceedings of the Cambridge Philosophical Society 21 Algebraic & Geometric Topology 17 Bulletin of the American Mathematical Society 14 Compositio Mathematica 14 Tôhoku Mathematical Journal. Second Series 13 Proceedings of the Edinburgh Mathematical Society. Series II 12 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 of Mathematical Analysis and Applications 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) 8 Geometry & Topology 7 Journal of Geometry and Physics 7 Boletim da Sociedade Brasileira de Matemática 7 Quaestiones Mathematicae 7 Linear Algebra and its Applications 6 The Mathematical Intelligencer 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Glasgow Mathematical Journal 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 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 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 5 Turkish Journal of Mathematics 5 Acta Mathematica Sinica. English Series 5 Journal of Algebra and its Applications 5 Mediterranean Journal of Mathematics 4 International Journal of Theoretical Physics 4 Mathematical Notes 4 Ukrainian Mathematical Journal 4 Acta Mathematica 4 Czechoslovak Mathematical Journal 4 Journal of Functional Analysis 4 Journal of Geometry 4 Nagoya Mathematical Journal 4 Advances in Applied Mathematics 4 Journal of Symbolic Computation 4 International Journal of Mathematics 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Expositiones Mathematicae 4 The Electronic Journal of Combinatorics 4 Selecta Mathematica. New Series 4 Theory and Applications of Categories 4 Journal of Group Theory 4 Algebras and Representation Theory 4 Communications in Nonlinear Science and Numerical Simulation 4 Proceedings of the Japan Academy 4 Journal of Topology and Analysis 4 Tbilisi Mathematical Journal 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 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 Bulletin of the American Mathematical Society. New Series 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Documenta Mathematica 3 Representation Theory ...and 199 more Serials all top 5 Cited in 58 Fields 648 Algebraic topology (55-XX) 328 Group theory and generalizations (20-XX) 304 Category theory; homological algebra (18-XX) 243 Manifolds and cell complexes (57-XX) 147 Associative rings and algebras (16-XX) 129 Combinatorics (05-XX) 119 Nonassociative rings and algebras (17-XX) 78 Number theory (11-XX) 77 Algebraic geometry (14-XX) 61 General topology (54-XX) 52 Differential geometry (53-XX) 47 Commutative algebra (13-XX) 45 Quantum theory (81-XX) 44 Global analysis, analysis on manifolds (58-XX) 39 Functional analysis (46-XX) 32 Topological groups, Lie groups (22-XX) 25 \(K\)-theory (19-XX) 24 Several complex variables and analytic spaces (32-XX) 22 Computer science (68-XX) 17 Mathematical logic and foundations (03-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Special functions (33-XX) 15 Field theory and polynomials (12-XX) 15 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 13 Ordinary differential equations (34-XX) 13 Convex and discrete geometry (52-XX) 12 History and biography (01-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 General algebraic systems (08-XX) 11 Real functions (26-XX) 10 General and overarching topics; collections (00-XX) 10 Probability theory and stochastic processes (60-XX) 10 Relativity and gravitational theory (83-XX) 9 Functions of a complex variable (30-XX) 8 Geometry (51-XX) 8 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 Operations research, mathematical programming (90-XX) 6 Systems theory; control (93-XX) 5 Difference and functional equations (39-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 4 Abstract harmonic analysis (43-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 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Sequences, series, summability (40-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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