Edit Profile (opens in new tab) Kantor, William M. Compute Distance To: Compute Author ID: kantor.william-m Published as: Kantor, William M.; Kantor, W. M.; Kantor, William; Kantor, W. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 170 Publications since 1967, including 2 Books 8 Contributions as Editor Co-Authors: 59 Co-Authors with 70 Joint Publications 1,873 Co-Co-Authors all top 5 Co-Authors 107 single-authored 8 Lubotzky, Alexander 7 Cameron, Peter Jephson 7 Guralnick, Robert Michael 7 Seress, Ákos 6 Seitz, Gary M. 5 Kassabov, Martin 4 Liebler, Robert A. 3 Babai, László 3 Dempwolff, Ulrich 3 Penttila, Tim 3 Williams, Michael E. 2 Aschbacher, Michael George 2 Brooksbank, Peter A. 2 Calderbank, Arthur Robert 2 Cohen, Arjeh Marcel 2 Di Martino, Lino 2 Finkelstein, Larry A. 2 Hering, Christoph H. 2 Luks, Eugene M. 2 Lunardon, Guglielmo 2 Magaard, Kay 2 Pálfy, Péter Pál 2 Shalev, Aner 2 Shult, Ernest E. 1 Bader, Laura 1 Blokhuis, Aart 1 Breuer, Thomas 1 Curtis, Charles W. 1 Diaconis, Persi Warren 1 Fein, Burton 1 Frankl, Péter 1 Giudici, Michael 1 Goodman, Albert J. 1 Graham, Ronald Lewis 1 Hollmann, Hendrik Dirk Lodewijk 1 Isaacs, I. Martin 1 Jones, Gareth A. 1 Klin, Mikhail H. 1 Liebeck, Martin Walter 1 Macpherson, Hugh Dugald 1 Mark, Peter D. 1 Marušič, Dragan 1 McDonough, Thomas P. 1 Meixner, Thomas 1 Nowitz, Lewis A. 1 O’Nan, Michael E. 1 Pankin, Mark D. 1 Pasini, Antonio 1 Payne, Stanley E. 1 Saxl, Jan 1 Schacher, Murray M. 1 Seidel, Johan Jacob 1 Spaltenstein, Nicolas 1 Suetake, Chihiro 1 Tamburini, Maria Chiara 1 Tits, Jacques 1 van Asch, Bram 1 van Tilborg, Henk C. A. 1 Wester, Michael J. all top 5 Serials 26 Journal of Algebra 12 Journal of Combinatorial Theory. Series A 8 Mathematische Zeitschrift 7 Geometriae Dedicata 6 Israel Journal of Mathematics 6 Transactions of the American Mathematical Society 6 European Journal of Combinatorics 6 Advances in Geometry 4 Canadian Journal of Mathematics 4 Journal of Algorithms 4 Journal of Algebraic Combinatorics 3 Discrete Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Proceedings of the London Mathematical Society. Third Series 2 Discrete Applied Mathematics 2 IEEE Transactions on Information Theory 2 Archiv der Mathematik 2 SIAM Journal on Algebraic and Discrete Methods 2 Designs, Codes and Cryptography 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 DIMACS. Series in Discrete Mathematics and Theoretical Computer Science 1 American Mathematical Monthly 1 Communications in Algebra 1 Journal of Mathematical Physics 1 Bulletin of the London Mathematical Society 1 Information and Control 1 Inventiones Mathematicae 1 Journal of Computer and System Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Advances in Applied Mathematics 1 Note di Matematica 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 CWI Quarterly 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Algebras, Groups and Geometries 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 The Australasian Journal of Combinatorics 1 Combinatorics, Probability and Computing 1 Documenta Mathematica 1 Journal of Group Theory 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Australian Mathematical Society 1 Journal of Combinatorial Theory 1 London Mathematical Society Lecture Note Series 1 Ohio State University Mathematical Research Institute Publications 1 Groups, Geometry, and Dynamics 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Trends in Mathematics all top 5 Fields 106 Group theory and generalizations (20-XX) 80 Geometry (51-XX) 55 Combinatorics (05-XX) 21 Computer science (68-XX) 12 Information and communication theory, circuits (94-XX) 8 General and overarching topics; collections (00-XX) 5 Nonassociative rings and algebras (17-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 144 Publications have been cited 2,846 times in 2,014 Documents Cited by ▼ Year ▼ The geometry of two-weight codes. Zbl 0582.94019Calderbank, R.; Kantor, W. M. 230 1986 Homogeneous designs and geometric lattices. Zbl 0559.05015Kantor, William M. 106 1985 The probability of generating a finite classical group. Zbl 0718.20011Kantor, William M.; Lubotzky, Alexander 91 1990 Primitive permutation groups of odd degree, and an application to finite projective planes. Zbl 0606.20003Kantor, William M. 89 1987 Probabilistic generation of finite simple groups. Zbl 0973.20012Guralnick, Robert M.; Kantor, William M. 86 2000 \(\mathbb{Z}_4\)-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets. Zbl 0916.94014Calderbank, A. R.; Cameron, P. J.; Kantor, W. M.; Seidel, J. J. 85 1997 \(k\)-homogeneous groups. Zbl 0232.20003Kantor, William M. 68 1972 Relative Brauer groups. II. Zbl 0457.13004Fein, Burton; Kantor, William M.; Schacher, Murray 68 1981 The 2-transitive permutation representations of the finite Chevalley groups. Zbl 0374.20002Curtis, Charles W.; Kantor, William M.; Seitz, Gary M. 67 1976 Subgroups of classical groups generated by long root elements. Zbl 0406.20040Kantor, William M. 63 1979 Finite groups with a split BN-pair of rank 1. I. Zbl 0244.20003Hering, Christoph; Kantor, William M.; Seitz, Gary M. 63 1972 2-transitive and antiflag transitive collineation groups of finite projective spaces. Zbl 0417.20044Cameron, P. J.; Kantor, W. M. 60 1979 Linear groups containing a Singer cycle. Zbl 0429.20004Kantor, William M. 59 1980 The rank 3 permutation representations of the finite classical groups. Zbl 0514.20033Kantor, William M.; Liebler, Robert A. 57 1982 Commutative semifields and symplectic spreads. Zbl 1041.51002Kantor, William M. 56 2003 Spreads, translation planes and Kerdock sets. I. Zbl 0493.51008Kantor, William M. 55 1982 Ovoids and translation planes. Zbl 0467.51004Kantor, William M. 54 1982 Generalized quadrangles associated with \(G_ 2(\)q). Zbl 0465.51007Kantor, William M. 50 1980 Transitive permutation groups without semiregular subgroups. Zbl 1015.20001Cameron, Peter J.; Giudici, Michael; Jones, Gareth A.; Kantor, William M.; Klin, Mikhail H.; Marušič, Dragan; Nowitz, Lewis A. 48 2002 On incidence matrices of finite projective and affine spaces. Zbl 0228.50022Kantor, William M. 48 1972 Symplectic groups, symmetric designs, and line ovals. Zbl 0298.05016Kantor, William M. 40 1975 Symplectic semifield planes and \({\mathbb Z}_4\)-linear codes. Zbl 1038.51003Kantor, William M.; Williams, Michael E. 38 2004 Automorphism groups of designs. Zbl 0212.03504Kantor, W. M. 38 1969 Classification of 2-transitive symmetric designs. Zbl 0594.05009Kantor, William M. 38 1985 Probabilistic generation of finite simple groups. II. Zbl 1181.20013Breuer, Thomas; Guralnick, Robert M.; Kantor, William M. 35 2008 Dimension and embedding theorems for geometric lattices. Zbl 0302.06018Kantor, William M. 35 1974 Prime power graphs for groups of Lie type. Zbl 0997.20018Kantor, William M.; Seress, Ákos 31 2002 Some generalized quadrangles with parameters \(q^ 2,q\). Zbl 0592.51003Kantor, William M. 31 1986 Small-diameter Cayley graphs for finite simple groups. Zbl 0702.05042Babai, L.; Kantor, W. M.; Lubotzky, A. 30 1989 Some geometries that are almost buildings. Zbl 0514.51006Kantor, William M. 28 1981 Generalized polygons, SCABs and GABs. Zbl 0599.51015Kantor, William M. 27 1986 Some exceptional 2-adic buildings. Zbl 0562.51006Kantor, William M. 26 1985 Black box classical groups. Zbl 1053.20045Kantor, William M.; Seress, Ákos 25 2001 Short presentations for finite groups. Zbl 0896.20025Babai, L.; Goodman, A. J.; Kantor, W. M.; Luks, E. M.; Pálfy, P. P. 24 1997 Finite semifields. Zbl 1102.51001Kantor, William M. 24 2006 2-transitive symmetric designs. Zbl 0207.02701Kantor, W. M. 24 1969 Random permutations: Some group-theoretic aspects. Zbl 0823.20002Cameron, Peter J.; Kantor, William M. 22 1993 Spreads, translation planes and Kerdock sets. II. Zbl 0535.51003Kantor, W. M. 22 1982 Invariable generation and the Chebotarev invariant of a finite group. Zbl 1248.20036Kantor, W. M.; Lubotzky, A.; Shalev, A. 22 2011 Large element orders and the characteristic of Lie-type simple groups. Zbl 1180.20009Kantor, William M.; Seress, Ákos 22 2009 Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 22 2008 Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander 22 2007 The probability of generating a classical group. Zbl 0820.20022Guralnick, Robert M.; Kantor, William M.; Saxl, Jan 20 1994 Automorphisms and isomorphisms of symmetric and affine designs. Zbl 0807.05005Kantor, William M. 20 1994 Permutation representations of the finite classical groups of small degree or rank. Zbl 0422.20033Kantor, William M. 19 1979 Black-box recognition of finite simple groups of Lie type by statistics of element orders. Zbl 1015.20013Babai, László; Kantor, William M.; Pálfy, Péter P.; Seress, Ákos 18 2002 Exponential numbers of two-weight codes, difference sets and symmetric designs. Zbl 0568.05010Kantor, William M. 18 1983 The mathematics of perfect shuffles. Zbl 0521.05005Diaconis, Persi; Graham, R. L.; Kantor, William M. 18 1983 On the probability that a group element is \(p\)-singular. Zbl 0835.20006Isaacs, I. M.; Kantor, W. M.; Spaltenstein, N. 16 1995 2-transitive groups in which the stabilizer of two points is cyclic. Zbl 0257.20002Kantor, William M.; O’Nan, Michael E.; Seitz, Gary M. 16 1972 Line-transitive collineation groups of finite projective spaces. Zbl 0262.20055Kantor, William M. 16 1973 Automorphism groups of Hadamard matrices. Zbl 0206.02103Kantor, W. M. 16 1969 Generalized quadrangles, flocks, and BLT sets. Zbl 0738.51004Kantor, William M. 15 1991 On unitary polarities of finite projective planes. Zbl 0225.50011Kantor, William M. 15 1971 On the structure of collineation groups of finite projective planes. Zbl 0326.20005Kantor, William M. 15 1976 Characterizations of finite projective and affine spaces. Zbl 0172.45603Kantor, W. M. 15 1969 An exponential number of generalized Kerdock codes. Zbl 0532.94012Kantor, William M. 14 1982 On constructive recognition of a black box \(\text{PSL}(d,q)\). Zbl 1052.20033Brooksbank, Peter A.; Kantor, William M. 13 2001 MUBs inequivalence and affine planes. Zbl 1274.46059Kantor, W. M. 13 2012 \(\aleph _ 0\)-categorical structures smoothly approximated by finite substructures. Zbl 0649.03018Kantor, W. M.; Liebeck, Martin W.; Macpherson, H. D. 13 1989 New flag-transitive affine planes of even order. Zbl 0852.51005Kantor, William M.; Williams, Michael E. 13 1996 Strongly regular graphs defined by spreads. Zbl 0524.05020Kantor, William M. 13 1982 Invariable generation of infinite groups. Zbl 1318.20032Kantor, William M.; Lubotzky, Alexander; Shalev, Aner 13 2015 Jordan groups. Zbl 0238.20012Kantor, William M. 12 1969 Intersecting families of finite sets and fixed-point-free 2-elements. Zbl 0722.05002Cameron, P. J.; Frankl, P.; Kantor, W. M. 12 1989 Presentations of finite simple groups: a computational approach. Zbl 1256.20008Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 11 2011 On the inequivalence of generalized Preparata codes. Zbl 0521.94016Kantor, William M. 11 1983 Note on span-symmetric generalized quadrangles. Zbl 0998.51003Kantor, William M. 10 2002 Some topics in asymptotic group theory. Zbl 0830.20033Kantor, William M. 10 1992 Automorphism groups of some generalized quadrangles. Zbl 0736.51002Kantor, W. M. 10 1991 Sylow’s theorem in polynomial time. Zbl 0573.20022Kantor, William M. 10 1985 Fast constructive recognition of black box orthogonal groups. Zbl 1107.20013Brooksbank, Peter A.; Kantor, William M. 10 2006 Plane geometries associated with certain 2-transitive groups. Zbl 0338.20003Kantor, William M. 10 1975 On discrete chamber-transitive automorphism groups of affine buildings. Zbl 0631.20033Kantor, W. M.; Liebler, R. A.; Tits, Jacques 9 1987 Codes, quadratic forms and finite geometries. Zbl 0867.94036Kantor, William M. 9 1995 On the maximality of \(\text{PSL}(d+1,q)\), \(d\geq 2\). Zbl 0299.20010Kantor, W. M.; McDonough, T. P. 9 1974 Envelopes of geometric lattices. Zbl 0312.05018Kantor, William M. 9 1975 Projective planes of order \(q\) whose collineation groups have order \(q^ 2\). Zbl 0810.51002Kantor, William M. 8 1994 Symplectic spreads from twisted fields. Zbl 0827.51005Bader, L.; Kantor, W. M.; Lunardon, G. 8 1994 Some locally finite flag-transitive buildings. Zbl 0645.51013Kantor, William M. 8 1987 Some results on 2-transitive groups. Zbl 0217.07401Kantor, W. M.; Seitz, Gary M. 8 1971 On the Lenz-Barlotti classification of projective planes. Zbl 0228.50024Hering, Christoph H.; Kantor, William M. 8 1971 Polynomial-time algorithms for finding elements of prime order and Sylow subgroups. Zbl 0604.20001Kantor, William M. 8 1985 Moore geometries and rank 3 groups having \(\mu=1\). Zbl 0406.05020Kantor, William M. 8 1977 Rank 3 characterizations of classical geometries. Zbl 0317.20004Kantor, William M. 8 1975 4-homogeneous groups. Zbl 0189.02303Kantor, W. M. 8 1968 On point-transitive affine planes. Zbl 0511.51011Kantor, William M. 8 1982 Two families of flag-transitive affine planes. Zbl 0748.51004Kantor, William M. 7 1992 2-transitive designs. Zbl 0362.05031Kantor, W. M. 7 1974 On 2-transitive groups in which the stabilizer of two points fixes additional points. Zbl 0246.20004Kantor, William M. 7 1972 Computing with matrix groups. Zbl 1052.20001Kantor, William M.; Seress, Ákos 6 2003 Black box exceptional groups of Lie type. Zbl 1285.20012Kantor, W. M.; Magaard, K. 6 2013 Symmetric designs form the \(G_2(q)\) generalized hexagons. Zbl 0997.05012Dempwolff, U.; Kantor, W. M. 5 2002 Nearly flag-transitive affine planes. Zbl 1186.51002Kantor, William M.; Williams, Michael E. 5 2010 Veroneseans, power subspaces and independence. Zbl 1277.51005Kantor, W. M.; Shult, E. E. 5 2013 Polynomial-time versions of Sylow’s theorem. Zbl 0642.20019Kantor, W. M.; Taylor, D. E. 5 1988 Translation planes of order \(q^ 6\) admitting SL(2,\(q^ 2)\). Zbl 0485.51002Kantor, William M. 5 1982 Commutativity in finite planes of type I-4. Zbl 0248.50026Kantor, William M.; Pankin, Mark D. 5 1972 Projective planes of type I-4. Zbl 0337.50014Kantor, William M. 5 1974 Orthogonal dual hyperovals, symplectic spreads, and orthogonal spreads. Zbl 1310.51008Dempwolff, Ulrich; Kantor, William M. 5 2015 On maximal symplectic partial spreads. Zbl 1387.51005Kantor, William M. 1 2017 Invariable generation of infinite groups. Zbl 1318.20032Kantor, William M.; Lubotzky, Alexander; Shalev, Aner 13 2015 Orthogonal dual hyperovals, symplectic spreads, and orthogonal spreads. Zbl 1310.51008Dempwolff, Ulrich; Kantor, William M. 5 2015 Black box groups isomorphic to \(\mathrm{PGL}(2,2^e)\). Zbl 1323.20044Kantor, William M.; Kassabov, Martin 5 2015 Black box exceptional groups of Lie type. II. Zbl 1304.20020Kantor, William M.; Magaard, Kay 5 2015 Black box exceptional groups of Lie type. Zbl 1285.20012Kantor, W. M.; Magaard, K. 6 2013 Veroneseans, power subspaces and independence. Zbl 1277.51005Kantor, W. M.; Shult, E. E. 5 2013 MUBs inequivalence and affine planes. Zbl 1274.46059Kantor, W. M. 13 2012 Invariable generation and the Chebotarev invariant of a finite group. Zbl 1248.20036Kantor, W. M.; Lubotzky, A.; Shalev, A. 22 2011 Presentations of finite simple groups: a computational approach. Zbl 1256.20008Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 11 2011 Remarks on proficient groups. Zbl 1239.20037Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 1 2011 Nearly flag-transitive affine planes. Zbl 1186.51002Kantor, William M.; Williams, Michael E. 5 2010 Large element orders and the characteristic of Lie-type simple groups. Zbl 1180.20009Kantor, William M.; Seress, Ákos 22 2009 HMO-planes. Zbl 1159.51002Kantor, William M. 3 2009 Flokki planes and cubic polynomials. Zbl 1235.51010Kantor, William M.; Penttila, Tim 2 2009 Probabilistic generation of finite simple groups. II. Zbl 1181.20013Breuer, Thomas; Guralnick, Robert M.; Kantor, William M. 35 2008 Presentations of finite simple groups: a quantitative approach. Zbl 1223.20024Guralnick, R. M.; Kantor, W. M.; Kassabov, M.; Lubotzky, A. 22 2008 Semifields arising from irreducible semilinear transformations. Zbl 1172.51006Kantor, William M.; Liebler, Robert A. 4 2008 Distorting symmetric designs. Zbl 1185.05018Dempwolff, Ulrich; Kantor, William M. 3 2008 Cycles in graphs and groups. Zbl 1211.05062Kantor, William M. 1 2008 Presentations of finite simple groups: profinite and cohomological approaches. Zbl 1135.20024Guralnick, Robert; Kantor, William M.; Kassabov, Martin; Lubotzky, Alexander 22 2007 Isomorphisms of symplectic planes. Zbl 1135.51004Kantor, William M. 4 2007 Finite semifields. Zbl 1102.51001Kantor, William M. 24 2006 Fast constructive recognition of black box orthogonal groups. Zbl 1107.20013Brooksbank, Peter A.; Kantor, William M. 10 2006 Jack van Lint (1932–2004): a survey of his scientific work. Zbl 1112.01017van Asch, Bram; Blokhuis, Aart; Hollmann, Henk; Kantor, William; van Tilborg, Henk 1 2006 Symplectic semifield planes and \({\mathbb Z}_4\)-linear codes. Zbl 1038.51003Kantor, William M.; Williams, Michael E. 38 2004 Variations on the Dembowski-Wagner theorem. Zbl 1033.05012Kantor, William M. 1 2004 Commutative semifields and symplectic spreads. Zbl 1041.51002Kantor, William M. 56 2003 Computing with matrix groups. Zbl 1052.20001Kantor, William M.; Seress, Ákos 6 2003 Transitive permutation groups without semiregular subgroups. Zbl 1015.20001Cameron, Peter J.; Giudici, Michael; Jones, Gareth A.; Kantor, William M.; Klin, Mikhail H.; Marušič, Dragan; Nowitz, Lewis A. 48 2002 Prime power graphs for groups of Lie type. Zbl 0997.20018Kantor, William M.; Seress, Ákos 31 2002 Black-box recognition of finite simple groups of Lie type by statistics of element orders. Zbl 1015.20013Babai, László; Kantor, William M.; Pálfy, Péter P.; Seress, Ákos 18 2002 Note on span-symmetric generalized quadrangles. Zbl 0998.51003Kantor, William M. 10 2002 Symmetric designs form the \(G_2(q)\) generalized hexagons. Zbl 0997.05012Dempwolff, U.; Kantor, W. M. 5 2002 Black box classical groups. Zbl 1053.20045Kantor, William M.; Seress, Ákos 25 2001 On constructive recognition of a black box \(\text{PSL}(d,q)\). Zbl 1052.20033Brooksbank, Peter A.; Kantor, William M. 13 2001 Note on GMW designs. Zbl 0964.05015Kantor, William M. 4 2001 Probabilistic generation of finite simple groups. Zbl 0973.20012Guralnick, Robert M.; Kantor, William M. 86 2000 Sylow subgroups in parallel. Zbl 0943.20006Kantor, William M.; Luks, Eugene M.; Mark, Peter D. 3 1999 Permutation group algorithms via black box recognition algorithms. Zbl 0932.20006Kantor, William M.; Seress, Ákos 3 1999 Simple groups in computational group theory. Zbl 0907.20001Kantor, William M. 2 1998 \(\mathbb{Z}_4\)-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets. Zbl 0916.94014Calderbank, A. R.; Cameron, P. J.; Kantor, W. M.; Seidel, J. J. 85 1997 Short presentations for finite groups. Zbl 0896.20025Babai, L.; Goodman, A. J.; Kantor, W. M.; Luks, E. M.; Pálfy, P. P. 24 1997 Groups and computation II. Workshop on groups and computation, June 7–10, 1995, New Brunswick, NJ, USA. Zbl 0861.00012 1 1997 Random permutations: Some group-theoretic aspects. Zbl 0887.20001Cameron, Peter J.; Kantor, William M. 1 1997 New flag-transitive affine planes of even order. Zbl 0852.51005Kantor, William M.; Williams, Michael E. 13 1996 Orthogonal spreads and translation planes. Zbl 0867.51005Kantor, William M. 3 1996 Note on Lie algebras, finite groups and finite geometries. Zbl 0851.17011Kantor, William M. 1 1996 On the probability that a group element is \(p\)-singular. Zbl 0835.20006Isaacs, I. M.; Kantor, W. M.; Spaltenstein, N. 16 1995 Codes, quadratic forms and finite geometries. Zbl 0867.94036Kantor, William M. 9 1995 Quaternionic line-sets and quaternionic Kerdock codes. Zbl 0867.94037Kantor, William M. 2 1995 The probability of generating a classical group. Zbl 0820.20022Guralnick, Robert M.; Kantor, William M.; Saxl, Jan 20 1994 Automorphisms and isomorphisms of symmetric and affine designs. Zbl 0807.05005Kantor, William M. 20 1994 Projective planes of order \(q\) whose collineation groups have order \(q^ 2\). Zbl 0810.51002Kantor, William M. 8 1994 Symplectic spreads from twisted fields. Zbl 0827.51005Bader, L.; Kantor, W. M.; Lunardon, G. 8 1994 A note on some flag-transitive affine planes. Zbl 0801.51005Kantor, William M.; Suetake, Chihiro 3 1994 Finite geometry for a generation. Zbl 0811.51008Kantor, W. M. 2 1994 Random permutations: Some group-theoretic aspects. Zbl 0823.20002Cameron, Peter J.; Kantor, William M. 22 1993 Groups and computation. Papers from the workshop held at DIMACS, Rutgers University, New Brunswick, NJ (USA), October 7-10, 1991. Zbl 0777.00032 1 1993 Some topics in asymptotic group theory. Zbl 0830.20033Kantor, William M. 10 1992 Two families of flag-transitive affine planes. Zbl 0748.51004Kantor, William M. 7 1992 Some large trivalent graphs having small diameters. Zbl 0769.05052Kantor, William M. 3 1992 Generalized quadrangles, flocks, and BLT sets. Zbl 0738.51004Kantor, William M. 15 1991 Automorphism groups of some generalized quadrangles. Zbl 0736.51002Kantor, W. M. 10 1991 Finding composition factors of permutation groups of degree \(n\leq 10^ 6\). Zbl 0792.20003Kantor, William M. 1 1991 The probability of generating a finite classical group. Zbl 0718.20011Kantor, William M.; Lubotzky, Alexander 91 1990 Two exceptional 3-adic affine buildings. Zbl 0692.20038Kantor, W. M.; Meixner, T.; Wester, M. 2 1990 Finding Sylow normalizers in polynomial time. Zbl 0731.20005Kantor, William M. 1 1990 Small-diameter Cayley graphs for finite simple groups. Zbl 0702.05042Babai, L.; Kantor, W. M.; Lubotzky, A. 30 1989 \(\aleph _ 0\)-categorical structures smoothly approximated by finite substructures. Zbl 0649.03018Kantor, W. M.; Liebeck, Martin W.; Macpherson, H. D. 13 1989 Intersecting families of finite sets and fixed-point-free 2-elements. Zbl 0722.05002Cameron, P. J.; Frankl, P.; Kantor, W. M. 12 1989 Polynomial-time versions of Sylow’s theorem. Zbl 0642.20019Kantor, W. M.; Taylor, D. E. 5 1988 Primitive permutation groups of odd degree, and an application to finite projective planes. Zbl 0606.20003Kantor, William M. 89 1987 On discrete chamber-transitive automorphism groups of affine buildings. Zbl 0631.20033Kantor, W. M.; Liebler, R. A.; Tits, Jacques 9 1987 Some locally finite flag-transitive buildings. Zbl 0645.51013Kantor, William M. 8 1987 The geometry of two-weight codes. Zbl 0582.94019Calderbank, R.; Kantor, W. M. 230 1986 Some generalized quadrangles with parameters \(q^ 2,q\). Zbl 0592.51003Kantor, William M. 31 1986 Generalized polygons, SCABs and GABs. Zbl 0599.51015Kantor, William M. 27 1986 Homogeneous designs and geometric lattices. Zbl 0559.05015Kantor, William M. 106 1985 Classification of 2-transitive symmetric designs. Zbl 0594.05009Kantor, William M. 38 1985 Some exceptional 2-adic buildings. Zbl 0562.51006Kantor, William M. 26 1985 Sylow’s theorem in polynomial time. Zbl 0573.20022Kantor, William M. 10 1985 Polynomial-time algorithms for finding elements of prime order and Sylow subgroups. Zbl 0604.20001Kantor, William M. 8 1985 Some consequences of the classification of finite simple groups. Zbl 0594.20008Kantor, William M. 1 1985 Generalized quadrangles and translation planes. Zbl 0598.51003Kantor, William M. 1 1985 Finite simple groups via p-adic groups. Zbl 0649.20011Kantor, W. M. 1 1984 Exponential numbers of two-weight codes, difference sets and symmetric designs. Zbl 0568.05010Kantor, William M. 18 1983 The mathematics of perfect shuffles. Zbl 0521.05005Diaconis, Persi; Graham, R. L.; Kantor, William M. 18 1983 On the inequivalence of generalized Preparata codes. Zbl 0521.94016Kantor, William M. 11 1983 Expanded, sliced and spread spreads. Zbl 0548.51011Kantor, William M. 2 1983 The rank 3 permutation representations of the finite classical groups. Zbl 0514.20033Kantor, William M.; Liebler, Robert A. 57 1982 Spreads, translation planes and Kerdock sets. I. Zbl 0493.51008Kantor, William M. 55 1982 Ovoids and translation planes. Zbl 0467.51004Kantor, William M. 54 1982 Spreads, translation planes and Kerdock sets. II. Zbl 0535.51003Kantor, W. M. 22 1982 An exponential number of generalized Kerdock codes. Zbl 0532.94012Kantor, William M. 14 1982 Strongly regular graphs defined by spreads. Zbl 0524.05020Kantor, William M. 13 1982 On point-transitive affine planes. Zbl 0511.51011Kantor, William M. 8 1982 Translation planes of order \(q^ 6\) admitting SL(2,\(q^ 2)\). Zbl 0485.51002Kantor, William M. 5 1982 Relative Brauer groups. II. Zbl 0457.13004Fein, Burton; Kantor, William M.; Schacher, Murray 68 1981 Some geometries that are almost buildings. Zbl 0514.51006Kantor, William M. 28 1981 ...and 44 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,612 Authors 78 Kantor, William M. 57 Praeger, Cheryl Elisabeth 40 Guralnick, Robert Michael 38 Lucchini, Andrea 35 Cameron, Peter Jephson 28 Shalev, Aner 28 Tonchev, Vladimir D. 26 Penttila, Tim 26 Zhou, Shenglin 24 Liebeck, Martin Walter 23 Thas, Joseph Adolphe 22 Burness, Timothy C. 22 Dempwolff, Ulrich 21 Saxl, Jan 20 Giudici, Michael 20 Van Maldeghem, Hendrik J. 19 Bamberg, John 19 Cossidente, Antonio 19 Marušič, Dragan 18 Thas, Koen 18 Tiep Pham Huu 18 Xiang, Qing 17 Jungnickel, Dieter 17 Shi, Minjia 16 Feng, Tao 16 Li, Caiheng 16 Marino, Giuseppe 16 O’Brien, Eamonn A. 16 Spiga, Pablo 15 Lunardon, Guglielmo 15 Polverino, Olga 14 Solé, Patrick 13 Delandtsheer, Anne 13 Lubotzky, Alexander 13 Seress, Ákos 12 Kassabov, Martin 12 Montinaro, Alessandro 12 Trombetti, Rocco 12 Zalesski, Alexandre Efimovich 11 Alavi, Seyed Hassan 11 Biliotti, Mauro 11 Ding, Cunsheng 11 Korchmáros, Gábor 11 Lavrauw, Michel 11 Leedham-Green, Charles R. 11 Rúa, Ignacio F. 10 Abhyankar, Shreeram Shankar 10 Babai, László 10 Cooperstein, Bruce N. 10 Johnson, Norman Lloyd 10 Liu, Weijun 10 Momihara, Koji 10 Napolitano, Vito 10 Niemeyer, Alice C. 9 Brown, Matthew R. 9 Daneshkhah, Ashraf 9 De Bruyn, Bart 9 Giulietti, Massimo 9 Hall, Jonathan I. 9 Ho, Chat Yin 9 Maslova, Natal’ya Vladimirovna 9 Pyber, László 9 Smith, Stephen D. 9 Yoshiara, Satoshi 9 Zhou, Yue 8 Aschbacher, Michael George 8 Devillers, Alice 8 Du, Shaofei 8 Guest, Simon D. 8 Harper, Scott 8 Heng, Ziling 8 Kutnar, Klavdija 8 Li, Huiling 8 Maróti, Attila 8 Montanucci, Maria 8 Pepe, Valentina 8 Pott, Alexander 8 Revin, Danila Olegovitch 8 Seitz, Gary M. 8 Sheekey, John 8 Stroppel, Markus Johannes 8 Tang, Chunming 8 Xia, Binzhou 8 Zhou, Sanming 8 Zini, Giovanni 7 Abdukhalikov, Kanat S. 7 Bader, Laura 7 Camina, Alan R. 7 Cao, Xiwang 7 Cohen, Arjeh Marcel 7 Dong, HuiLi 7 Jha, Vikram 7 Knarr, Norbert 7 Kondrat’ev, Anatoliĭ Semenovich 7 Magaard, Kay 7 Morris, Joy 7 Payne, Stanley E. 7 Roney-Dougal, Colva M. 7 Sloane, Neil James Alexander 7 Vasil’ev, Andreĭ Viktorovich ...and 1,512 more Authors all top 5 Cited in 226 Serials 243 Journal of Algebra 157 Journal of Combinatorial Theory. 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Second Series 3 Journal of Applied Mathematics and Computing 3 Groups, Complexity, Cryptology 3 Forum of Mathematics, Sigma 3 Journal of Algebra, Combinatorics, Discrete Structures and Applications 3 Algebraic Combinatorics 2 International Journal of Modern Physics B 2 International Journal of Theoretical Physics 2 The Mathematical Intelligencer ...and 126 more Serials all top 5 Cited in 43 Fields 982 Group theory and generalizations (20-XX) 801 Combinatorics (05-XX) 591 Geometry (51-XX) 272 Information and communication theory, circuits (94-XX) 157 Number theory (11-XX) 80 Field theory and polynomials (12-XX) 78 Computer science (68-XX) 67 Algebraic geometry (14-XX) 38 Nonassociative rings and algebras (17-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 30 Quantum theory (81-XX) 24 Mathematical logic and foundations (03-XX) 23 Associative rings and algebras (16-XX) 15 Topological groups, Lie groups (22-XX) 15 Convex and discrete geometry (52-XX) 14 Probability theory and stochastic processes (60-XX) 12 Commutative algebra (13-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 8 General and overarching topics; collections (00-XX) 7 History and biography (01-XX) 7 Algebraic topology (55-XX) 7 Manifolds and cell complexes (57-XX) 7 Statistics (62-XX) 6 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General algebraic systems (08-XX) 3 Category theory; homological algebra (18-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 2 \(K\)-theory (19-XX) 2 Measure and integration (28-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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