William Kantor | Academic Influence

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William Kantor

Mathematics

#5299

World Rank

#7469

Historical Rank

#1756

USA Rank

Measure Theory

#1270

World Rank

#1610

Historical Rank

#460

USA Rank

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Mathematics

William Kantor's Degrees

PhD Mathematics University of Chicago
Bachelors Mathematics University of Chicago

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Why Is William Kantor Influential?

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According to Wikipedia, William M. Kantor is an American mathematician who works in finite group theory and finite geometries, particularly in computational aspects of these subjects. Education and career Kantor graduated with a bachelor's degree from Brooklyn College in 1964. He went on to graduate studies at the University of Wisconsin, receiving his PhD in 1968 under the supervision of Peter Dembowski and R. H. Bruck. He then worked at the University of Illinois at Chicago from 1968 to 1971 before moving in 1971 to the University of Oregon, where he remained for the rest of his career.

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William Kantor's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Geometry of Two‐Weight Codes (1986) (591)
Homogeneous Designs and Geometric Lattices (1985) (220)
The probability of generating a finite classical group (1990) (200)
Primitive permutation groups of odd degree, and an application to finite projective planes (1987) (165)
Computational complexity and the classification of finite simple groups (1983) (150)
The 2-transitive permutation representa-tions of the finite Chevalley groups (1976) (149)
Probabilistic Generation of Finite Simple Groups (2000) (147)
Spreads, Translation Planes and Kerdock Sets. I (1982) (147)
2-Transitive and antiflag transitive collineation groups of finite projective spaces (1979) (141)
Probabilistic generation of finite simple groups, II (2000) (140)
Relative Brauer groups II. (1981) (137)
Ovoids and Translation Planes (1982) (137)
k-Homogeneous groups (1972) (130)
The rank 3 permutation representations of the finite classical groups (1982) (128)
Subgroups of classical groups generated by long root elements (1979) (128)
On incidence matrices of finite projective and affine spaces (1972) (112)
Linear groups containing a singer cycle (1980) (111)
Commutative semifields and symplectic spreads (2003) (110)
Finite groups with a split BN-pair of rank 1. II (1972) (109)
The mathematics of perfect shuffles (1983) (105)
Generalized Quadrangles Associated with G2(q) (1980) (104)
Black Box Classical Groups (2001) (94)
Symplectic groups, symmetric designs, and line ovals (1975) (92)
Transitive Permutation Groups Without Semiregular Subgroups (2002) (90)
Finite semifields (2005) (89)
Some generalized quadrangles with parametersq2,q (1986) (87)
Small-diameter Cayley Graphs for Finite Simple Groups (1989) (84)
Automorphism groups of designs (1969) (83)
Classification of 2-transitive symmetric designs (1985) (81)
Generalized polygons, SCABs and GABs (1986) (74)
Sylow's Theorem in Polynomial Time (1985) (69)
Dimension and Embedding Theorems for Geometric Lattices (1974) (65)
Symplectic semifield planes and ℤ₄–linear codes (2003) (64)
On the diameter of finite groups (1990) (60)
Short Presentations for Finite Groups (1992) (60)
Prime Power Graphs for Groups of Lie Type (2002) (58)
The probability of generating a classical group (1994) (58)
Invariable generation and the chebotarev invariant of a finite group (2010) (55)
Computing in quotient groups (1990) (52)
Groups and Computation II (1997) (51)
Large element orders and the characteristic of Lie-type simple groups ✩ (2009) (50)
Permutation Representations of the Finite Classical Groups of Small Degree or Rank (1979) (50)
Some Exceptional 2-Adic Buildings (1985) (48)
Black-box recognition of finite simple groups of Lie type by statistics of element orders (2002) (48)
Random Permutations: Some Group-Theoretic Aspects (1993) (48)
ℵ0‐Categorical Structures Smoothly Approximated by Finite Substructures (1989) (48)
Some Geometries that are Almost Buildings (1981) (46)
On the Probability That a Group Element is p-Singular (1995) (44)
Line-transitive collineation groups of finite projective spaces (1973) (43)
2-Transitive symmetric designs (1969) (43)
Presentations of Finite Simple Groups: Profinite and Cohomological Approaches (2007) (41)
2-Transitive groups in which the stabilizer of two points is cyclic☆ (1972) (38)
Exponential numbers of two-weight codes, difference sets and symmetric designs (1983) (38)
2-Transitive Designs (1975) (38)
New prolific constructions of strongly regular graphs (2002) (38)
Strongly regular graphs defined by spreads (1982) (36)
On constructive recognition of a black box PSL (2001) (35)
Groups and computation (1993) (34)
Characterizations of Finite Projective and Affine Spaces (1969) (34)
An Exponential Number of Generalized Kerdock Codes (1982) (33)
Automorphism groups of Hadamard matrices (1969) (33)
Presentations of finite simple groups: a computational approach (2008) (31)
Polynomial-Time Algorithms for Finding Elements of Prime Order and Sylow Subgroups (1985) (29)
Automorphisms and Isomorphisms of Symmetric and Affine Designs (1994) (29)
On the inequivalence of generalized Preparata codes (1983) (28)
Fast constructive recognition of black box orthogonal groups (2006) (28)
On discrete chamber-transitive automorphism groups of affine buildings (1987) (25)
On Unitary Polarities of Finite Projective Planes (1971) (25)
ON THE STRUCTURE OF COLLINEATION GROUPS OF FINITE PROJECTIVE PLANES (1976) (24)
Polynomial-Time Versions of Sylow's Theorem (1988) (24)
Intersecting Families of Finite Sets and Fixed-point-Free 2-Elements (1989) (24)
Generalized quadrangles, flocks, and BLT sets (1991) (23)
2-Transitive and flag-transitive designs (1993) (23)
Generation of Linear Groups (1981) (22)
On the Maximality of Psl(D + 1, q), d ≥ 2 (1974) (22)
Invariable generation of infinite groups (2014) (22)
Finite geometries, buildings, and related topics (1990) (21)
Plane Geometries Associated with Certain 2-Transitive Groups* (1975) (21)
New Flag-Transitive Affine Planes of Even Order (1996) (21)
Note on span-symmetric generalized quadrangles (2002) (20)
On point-transitive affine planes (1982) (20)
Groups, Combinatorics & Geometry: Some topics in asymptotic group theory (1992) (19)
Computing with matrix groups (2002) (18)
MOORE GEOMETRIES AND RANK 3 GROUPS HAVING μ=1 (1977) (18)
Spheres of radius 2 in triangle buildings (1990) (18)
4-Homogeneous groups (1968) (18)
Envelopes of Geometric Lattices (1975) (16)
Finding Sylow Normalizers in Polynomial Time (1990) (15)
On 2-Transitive Groups in Which the Stabilizer of Two Points Fixes Additional Points † (1972) (15)
Sylow Subgroups in Parallel (1999) (14)
Simple Groups in Computational Group Theory (1998) (14)
Orthogonal dual hyperovals, symplectic spreads, and orthogonal spreads (2013) (14)
Bent functions generalizing Dillon's partial spread functions (2012) (14)
Groups of Lie type and their geometries : Como, 1993 (1995) (14)
Two families of flag-transitive affine planes (1992) (13)
SEMIFIELDS ARISING FROM IRREDUCIBLE SEMILINEAR TRANSFORMATIONS (2008) (13)
Projective planes of type I-4 (1974) (13)
Rank 3 characterizations of classical geometries (1975) (13)
Projective Planes of Order q whose Collineation Groups have Order q2 (1994) (13)
Some locally finite flag-transitive buildings (1987) (12)
Black box exceptional groups of Lie type (2011) (12)
Black box groups isomorphic to ${\rm PGL}(2,2^e)$ (2013) (12)
Veroneseans, power subspaces and independence (2011) (11)
Finite Groups with a Split M & Pair of Rank 1 . II * (2003) (11)
Groups of Lie Type and their Geometries: Contents (1995) (11)
Groups St Andrews 1997 in Bath: Permutation group algorithms via black box recognition algorithms (1999) (11)
Some results on 2-transitive groups (1971) (11)
Nearly flag-transitive affine planes (2010) (10)
Classical groups from a non-classical viewpoint (1979) (9)
Elations of Designs (1970) (9)
Review: N. L. Biggs and A. T. White, Permutation groups and combinatorial structures (1981) (9)
Translation Planes of Order q6 Admitting SL(2, q2) (1982) (9)
On the Lenz-Barlotti classification of projective planes (1971) (9)
Some Large Trivalent Graphs Having Small Diameters (1992) (9)
Note on symmetric designs and projective spaces (1971) (9)
Symmetric Designs from the G2(q) Generalized Hexagons (2002) (8)
Orthogonal Spreads and Translation Planes (1996) (8)
Probabilistic generation of nite simple groupsRobert (2000) (8)
Isomorphisms of symplectic planes (2007) (8)
Commutativity in finite planes of type I-4 (1972) (8)
Economical generating sets for finite simple groups (1995) (7)
Black box exceptional groups of Lie type II (2015) (7)
Two exceptional 3-adic affine buildings (1990) (7)
Finding Composition Factors of Permutation Groups of Degree n < 10^6 (1991) (7)
Primitive groups having transitive subgroups of smaller, prime power degree (1974) (6)
Note on Lie algebras, finite groups and finite geometries (1996) (6)
Note on GMW Designs (2001) (6)
Distorting symmetric designs (2008) (6)
Quaternionic line-sets and quaternionic Kerdock codes (1995) (5)
Constructive recognition of the finite simple classical groups (2001) (5)
A Note on Some Flag-Transitive Affine Planes (1994) (5)
Locally Polar Lattices (1979) (5)
On a class of Jordan groups (1970) (4)
Finite geometry for a generation (1994) (4)
Remarks on Proficient groups (2009) (4)
Flokki planes and cubic polynomials (2010) (4)
Cycles in Graphs and Groups (2008) (3)
On maximal symplectic partial spreads (2016) (3)
Reflections on concrete buildings (1988) (3)
Automorphism groups of Steiner triple systems (2018) (3)
Antiflag-transitive collineation groups revisited (2002) (3)
Random Remarks on Permutation Group Algorithms (1991) (2)
Automorphism groups of designs with λ=1 (2019) (2)
Generalized quadrangles having a prime parameter (1976) (2)
Black box groups $\PGL(2,2^e)$ (2013) (2)
Groups of Lie Type and their Geometries: Preface (1995) (2)
A projection construction for semifields (2012) (2)
ON 2-TRANSITIVE SETS OF EQUIANGULAR LINES (2022) (1)
Axial Automoilphisms of Designs (1976) (1)
Strongly regular graphs satisfying the 4-vertex condition (2021) (1)
The k-orbit theory and Fein-Kantor-Schacher Theorem (2005) (1)
FURTHER PROBLEMS CONCERNING FINITE GEOMETRIES AND FINITE GROUPS (2007) (1)
BENT FUNCTIONS AND SPREADS (2015) (1)
Rank 3 Groups and Biplanes (1978) (1)
Nondesarguesian Planes, Partial Geometries, Strongly Regular Graphs and Codes Arising from Hyperbolic Quadrics (1983) (1)
Those Nasty Baer Involutions (1)
Groups and computation III : proceedings of the International Conference at the Ohio State University, June 15-19, 1999 (2001) (1)
Jack van Lint (1932-2004): A survey of his scientific work (2006) (1)
Reconstructing simple group actions (1999) (1)
On homologies of finite projective planes (1973) (1)
Symplectic spreads from twisted eldsL (1994) (1)
Review: Peter J. Cameron, Parallelisms of complete designs (1978) (1)
Geometry in Computer Algebra Systems (1994) (1)
Some Cayley graphs for simple groups (1989) (1)
Variations on the Dembowski-Wagner theorem (2004) (1)
Antiflag Transitive Collineation Groups (2018) (1)
Notes on polynomial-time group theory (1992) (1)
Kerdock codes and related planes (1992) (0)
Note Normality in a Kantor Family (2004) (0)
Ank 3 Characterizations of Classica (1974) (0)
Geometries and Groups (2011) (0)
Remarks on proficient groups. Dedicated to the memory of Karl Gruenberg (2009) (0)
Review: T. Tsuzuku, Finite groups and finite geometries (1983) (0)
Automorphism groups of designs with $\lambda=1$ (2018) (0)
The Probability of Generating a Classical (1994) (0)
Correction to “4-homogeneous groups” (1969) (0)
MA THEMA TICS AXIAL AUTOMORPHISMS OF DESIGNS (0)
SOME HIGHLY GEOME TRIC LATTICES (0)
Planes in which every quadrangle lies on a unique Baer subplane (2012) (0)
Problems for Solution: 4983-4988 (1961) (0)
Geometries and groups : proceedings of the Workshop Geometries and Groups, Finite and Algebraic, Noordwijkerhout, Holland, March 1986 (1988) (0)
Step-by-step conjugation of p-subgroups of a group (1970) (0)
Universal families of permutation groups (2008) (0)
TWO FAMILIES OF FLAG-TRANSITIVE AFFINE PLANES Dedicated to Otto Wagner on the occasion of his 60th birthday (1992) (0)
Orthogonal dual hyperovals, symplectic spreads, and orthogonal spreads (2014) (0)
Combinatorics, Geometry and Probability: Random Permutations: Some Group-Theoretic Aspects (1997) (0)
Projective planes of type I-4: Addendum (1976) (0)
Some consequences of the classification of ( " mite simple groups (0)
Special Issue in Honor of Jacobus H. van Lint (2006) (0)
Grid-symmetric generalized quadrangles (2005) (0)
Expanded, Sliced and Spread Spreads I. Some Translation Planes (0)
2-transitive and Flag-transitive Designs O Introduction (1993) (0)
The existence of translation complements (1976) (0)
Note Locally Polar Lattices* (1979) (0)
Group Theory Permutation Groups (2017) (0)
Independent pairs of good self-dual codes (1982) (0)
Moore Geometries and Rank 3 Groups Having / M = Lt (1975) (0)
GRAMMA: SET OF SUBROUTINES FOR THE RASTER COLOR TV MONITOR CONTROL (1985) (0)
Cyclic elliptic spreads (2015) (0)
Automorphism subgroups for designs with λ=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda =1$$\end{document} (2019) (0)
Planes in which every quadrangle lies on a unique Baer subplane (2011) (0)
Groups of Lie Type and their Geometries: List of participants (1995) (0)
List of talks (1995) (0)
Some local1y finite Hag-transitive buildings (1987) (0)

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