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- William M. Kantor

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
48
Citations
7,621
172
World Ranking
897
National Ranking
437

Computer Science
D-index
42
Citations
6,340
130
World Ranking
5308
National Ranking
2594

2013 - Fellow of the American Mathematical Society

- Combinatorics
- Algebra
- Geometry

Combinatorics, Pure mathematics, Discrete mathematics, Symplectic geometry and Projective space are his primary areas of study. His Combinatorics study combines topics from a wide range of disciplines, such as Classification of finite simple groups and Group. Many of his research projects under Pure mathematics are closely connected to Homogeneous with Homogeneous, tying the diverse disciplines of science together.

His Discrete mathematics research is multidisciplinary, relying on both Algebraic geometry, Geometry, Differential geometry and Classical group. The Symplectic geometry study combines topics in areas such as Commutative property, Semifield, Order, Binary logarithm and Polynomial. His Projective space research is multidisciplinary, incorporating elements of Projective plane, Linear subspace and Affine transformation.

- The Geometry of Two‐Weight Codes (461 citations)
- Z4-kerdock codes, orthogonal spreads, and extremal euclidean line-sets (283 citations)
- Homogeneous designs and geometric lattices (179 citations)

William M. Kantor mostly deals with Combinatorics, Discrete mathematics, Pure mathematics, Group and Simple group. His work deals with themes such as Classification of finite simple groups and Permutation group, which intersect with Combinatorics. William M. Kantor interconnects Profinite group, Group of Lie type, Prime power and Symplectic geometry in the investigation of issues within Discrete mathematics.

The concepts of his Pure mathematics study are interwoven with issues in Projective plane and Type. His work on Sylow theorems as part of general Group research is often related to Black box, thus linking different fields of science. His Simple group study incorporates themes from Time complexity, Rank, Finite group and Field.

- Combinatorics (67.93%)
- Discrete mathematics (29.89%)
- Pure mathematics (22.83%)

- Combinatorics (67.93%)
- Discrete mathematics (29.89%)
- Group (21.74%)

The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Group, Finite group and Simple group. His Combinatorics research incorporates elements of Symplectic geometry, Rank and Field. The various areas that William M. Kantor examines in his Discrete mathematics study include Affine group, Affine geometry, Affine plane and Dimension.

His Group course of study focuses on Finite set and If and only if. His Finite group study also includes fields such as

- Schur multiplier which connect with Profinite group, Covering groups of the alternating and symmetric groups, Cycle graph and Non-abelian group,
- Symmetric group which intersects with area such as Primitive permutation group, Cyclic permutation, Partial permutation, Base and Frobenius group. His Pure mathematics research includes themes of Projective plane and Transitive relation.

- Invariable generation and the Chebotarev invariant of a finite group (41 citations)
- Presentations of finite simple groups: a quantitative approach (33 citations)
- Large element orders and the characteristic of Lie-type simple groups ✩ (33 citations)

- Algebra
- Combinatorics
- Geometry

William M. Kantor spends much of his time researching Combinatorics, Group, Simple group, Isomorphism and Computational group theory. His Combinatorics study combines topics in areas such as Discrete mathematics, Profinite group, Classification of finite simple groups and Field. His Classification of finite simple groups study integrates concerns from other disciplines, such as Constant, CA-group, Prime and Conjecture.

His Field research includes elements of Time complexity and Permutation group. The study incorporates disciplines such as Generating set of a group, Computation, Matrix group and Rank in addition to Simple group. His studies deal with areas such as Dual, Binary logarithm, Type, Cohomology and Symplectic geometry as well as Rank.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The Geometry of Two-Weight Codes

R. Calderbank;W. M. Kantor.

Bulletin of The London Mathematical Society **(1986)**

583 Citations

The Geometry of Two-Weight Codes

R. Calderbank;W. M. Kantor.

Bulletin of The London Mathematical Society **(1986)**

583 Citations

Z4-kerdock codes, orthogonal spreads, and extremal euclidean line-sets

AR Calderbank;PJ Cameron;WM Kantor;JJ Seidel.

Proceedings of The London Mathematical Society **(1997)**

368 Citations

Z4-kerdock codes, orthogonal spreads, and extremal euclidean line-sets

AR Calderbank;PJ Cameron;WM Kantor;JJ Seidel.

Proceedings of The London Mathematical Society **(1997)**

368 Citations

Homogeneous designs and geometric lattices

William M Kantor.

Journal of Combinatorial Theory, Series A **(1985)**

275 Citations

Homogeneous designs and geometric lattices

William M Kantor.

Journal of Combinatorial Theory, Series A **(1985)**

275 Citations

The probability of generating a finite classical group

William M. Kantor;Alexander Lubotzky.

Geometriae Dedicata **(1990)**

245 Citations

The probability of generating a finite classical group

William M. Kantor;Alexander Lubotzky.

Geometriae Dedicata **(1990)**

245 Citations

Primitive permutation groups of odd degree, and an application to finite projective planes

William M Kantor.

Journal of Algebra **(1987)**

214 Citations

Primitive permutation groups of odd degree, and an application to finite projective planes

William M Kantor.

Journal of Algebra **(1987)**

214 Citations

Journal of Algebra

(Impact Factor: 0.908)

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