John Bamberg

Dr, BA La Trobe, PhD W.Aust.

  • The University of Western Australia (M019), 35 Stirling Highway, Room 2.09, Mathematics Building

    6009 Crawley

    Australia

  • 191 Citations
  • 8 h-Index
20002018

Research Output 2000 2018

  • 191 Citations
  • 8 h-Index
  • 47 Article
  • 1 Conference paper
  • 1 Review article
2018

A classification of finite antiflag-transitive generalized quadrangles

Bamberg, J., Li, C. H. & Swartz, E. 1 Jan 2018 In : Transactions of the American Mathematical Society. 370, 3, p. 1551-1601 51 p.

Research output: Contribution to journalArticle

Open Access
Generalized Quadrangle
Algebra
Geometry
Line
Incidence Geometry

BRUCK NETS AND PARTIAL SHERK PLANES

Bamberg, J., Fawcett, J. B. & Lansdown, J. 1 Feb 2018 In : Journal of the Australian Mathematical Society. p. 1-12 12 p.

Research output: Contribution to journalArticle

Affine plane
Partial
Axioms
Odd
Finite Geometry

On regular induced subgraphs of generalized polygons

Bamberg, J., Bishnoi, A. & Royle, G. F. 1 Aug 2018 In : Journal of Combinatorial Theory. Series A. 158, p. 254-275 22 p.

Research output: Contribution to journalArticle

Generalized Polygon
Induced Subgraph
Generalized Quadrangle
Cage
Graph in graph theory
2017
2 Citations

A new infinite family of hemisystems of the Hermitian surface

Bamberg, J., Lee, M., Momihara, K. & Xiang, Q. 10 Jan 2017 In : Combinatorica. 38, 1, p. 43-66 24 p.

Research output: Contribution to journalArticle

Hermitian Surface
Congruent
Modulo
Odd
Family

A relative m-cover of a Hermitian surface is a relative hemisystem

Bamberg, J. & Lee, M. Jun 2017 In : Journal of Algebraic Combinatorics. 45, 4, p. 1217-1228 12 p.

Research output: Contribution to journalArticle

Hermitian Surface
Cover
Line
Generalized Quadrangle
Disjoint

New Non-existence Proofs for Ovoids of Hermitian Polar Spaces and Hyperbolic Quadrics

Bamberg, J., De Beule, J. & Ihringer, F. 1 Mar 2017 In : Annals of Combinatorics. 21, 1, p. 25-42 18 p.

Research output: Contribution to journalArticle

Open Access
Polar Space
Quadric
Nonexistence
Hyperbolic Space

On m-ovoids of regular near polygons

Bamberg, J., Lansdown, J. & Lee, M. 20 Jun 2017 (Accepted/In press) In : Designs, Codes, and Cryptography.

Research output: Contribution to journalArticle

Near Polygon
Regular polygon
Algebra
Dual Polar Space
Generalise

Point-primitive, line-transitive generalised quadrangles of holomorph type

Bamberg, J., Popiel, T. & Praeger, C. E. Mar 2017 In : Journal of Group Theory. 20, 2, p. 269-287 19 p.

Research output: Contribution to journalArticle

Open Access
File
Generalized Quadrangle
Collineation
Line
Normal subgroup
Point Sets

Point-primitive generalised hexagons and octagons

Bamberg, J., Glasby, S. P., Popiel, T., Praeger, C. E. & Schneider, C. 1 Apr 2017 In : Journal of Combinatorial Theory. Series A. 147, p. 186-204 19 p.

Research output: Contribution to journalArticle

Generalized Hexagon
Groups of Lie Type
Simple group
Octagon
Line

Simple groups, product actions, and generalized quadrangles

Bamberg, J., Popiel, T. & Praeger, C. E. 2017 In : Nagoya Mathematical Journal. p. 1-40

Research output: Contribution to journalArticle

File
Generalized Quadrangle
Simple group
Flag-transitive
Permutation group
Cartesian product

Synchronization and separation in the johnson schemes

Aljohani, M., Bamberg, J., Cameron, P. J. & Araújo, J. 1 Jan 2017 In : Portugaliae Mathematica. 74, 3, p. 213-232 20 p.

Research output: Contribution to journalArticle

Synchronization
Permutation group
Steiner System
Association Scheme
Divisibility
2016
1 Citations

An Enumeration of Certain Projective Ternary Two-Weight Codes

Martis, M., Bamberg, J. & Morris, S. 2016 In : Journal of Combinatorial Designs. 24, 1, p. 21-35

Research output: Contribution to journalArticle

Ternary
Enumeration
Intersection of sets
Projective Space
Intersection

A note on relative hemisystems of Hermitian generalised quadrangles

Bamberg, J., Lee, M. & Swartz, E. Oct 2016 In : Designs, Codes, and Cryptography. 81, 1, p. 131-144

Research output: Contribution to journalArticle

Generalized Quadrangle
Industry
H-space
Likely
Sufficient
2 Citations

Generalized Quadrangles and Transitive Pseudo-Hyperovals

Bamberg, J., Glasby, S., Popiel, T. & Praeger, C. Mar 2016 In : Journal of Combinatorial Designs. 24, 4, p. 151-164

Research output: Contribution to journalArticle

Open Access
File
Hyperoval
Generalized Quadrangle
Flag-transitive
Normal subgroup
Projective Space
2015

AS-configurations and skew-translation generalised quadrangles

Bamberg, J., Glasby, S. & Swartz, E. 1 Jan 2015 In : Journal of Algebra. 421, p. 311-330 20 p.

Research output: Contribution to journalArticle

Generalized Quadrangle
Skew
Configuration
Odd

Completing Segre's proof of Wedderburn's little theorem

Bamberg, J. & Penttila, T. Jun 2015 In : Bulletin of the London Mathematical Society. 47, 3, p. 483-492

Research output: Contribution to journalArticle

Open Access
File
Geometric proof
Finite Rings
Division ring or skew field
Projective Space
Theorem
2 Citations

Locally triangular graphs and rectagraphs with symmetry

Bamberg, J., Devillers, A., Fawcett, J. & Praeger, C. Jul 2015 In : Journal of Combinatorial Theory. Series A. 133, p. 1-28

Research output: Contribution to journalArticle

Triangular
Symmetry
Graph in graph theory
Permutation group
Vertex of a graph
2 Citations

Triple factorisations of the general linear group and their associated geometries

Alavi, H., Bamberg, J. & Praeger, C. 15 Mar 2015 In : Linear Algebra and its applications. 469, p. 169-203 35 p.

Research output: Contribution to journalArticle

General Linear Group
Factorization
Geometry
Line
Flag-transitive
2014
3 Citations

Bounds on the diameter of Cayley graphs of the symmetric group

Bamberg, J., Gill, N., Hayes, T. P., Helfgott, H. A., Seress, A. & Spiga, P. 2014 In : Journal of Algebraic Combinatorics. 40, 1, p. 1-22

Research output: Contribution to journalArticle

Cayley Graph
Symmetric group
Permutation
Generator
Polynomial

Editorial: Special issue on finite geometries in honor of Frank de Clerck

Bamberg, J., De Beule, J., Durante, N. & Lavrauw, M. 2014 In : Designs, Codes and Cryptography. 72, 1, p. 1-5

Research output: Contribution to journalReview article

2 Citations

Unitals in the Desarguesian projective plane of order 16

Bamberg, J., Betten, A., Praeger, C. & Wassermann, A. 2014 In : Journal of Statistical Planning and Inference. 144, 1, p. 110-122

Research output: Contribution to journalArticle

Projective plane
Unital
Computational methods
Hermitian Curve
Decomposition
2013
4 Citations

An alternative way to generalize the pentagon

Ball, S., Bamberg, J., Devillers, A. & Stokes, K. 2013 In : Journal of Combinatorial Designs. 21, 4, p. 163-179

Research output: Contribution to journalArticle

3 Citations

Hemisystems of small flock generalized quadrangles

Bamberg, J., Giudici, M. & Royle, G. 2013 In : Designs Codes and Cryptography. 67, p. 137-157

Research output: Contribution to journalArticle

3 Citations

The classification of almost simple 3/2-Transitive Groups

Bamberg, J., Giudici, M., Liebeck, M. W., Praeger, C. & Saxl, J. 2013 In : Transactions of the American Mathematical Society. 365, 8, p. 4257-4311

Research output: Contribution to journalArticle

2012
1 Citations

A classification of the strongly regular generalised Johnson graphs

Cannon, A. D., Bamberg, J. & Praeger, C. 2012 In : Annals of Combinatorics. 16, p. 489-506

Research output: Contribution to journalArticle

7 Citations

Generalised quadrangles with a group of automorphisms acting primitively on points and lines

Bamberg, J., Giudici, M., Morris, J., Royle, G. & Spiga, P. 2012 In : Journal of Combinatorial Theory Series A. 119, 7, p. 1479-1499

Research output: Contribution to journalArticle

Low Dimensional Models of the Finite Split Cayley Hexagon

Bamberg, J. & Durante, N. 2012 Theory and Applications of Finite Fields. USA: American Mathematical Society, Vol. 579, p. 1-20

Research output: Chapter in Book/Report/Conference proceedingConference paper

1 Citations

Weighted intriguing sets of finite generalised quadrangles

Bamberg, J., Devillers, A. & Schillewaert, J. 2012 In : Journal of Algebraic Combinatorics. 36, p. 149-173

Research output: Contribution to journalArticle

2011
5 Citations

Intriguing Sets in Partial Quadrangles

Bamberg, J., De Clerck, F. & Durante, N. 2011 In : Journal of Combinatorial Designs. 19, 3, p. 217-245

Research output: Contribution to journalArticle

4 Citations
Open Access
2010
1 Citations

A Geometric Construction of Mathon's Perp-System from Four Lines of PG(5,3)

Bamberg, J. & De Clerck, F. 2010 In : Journal of Combinatorial Designs. 18, p. 450-461

Research output: Contribution to journalArticle

12 Citations
2009
7 Citations

A classification of transitive ovoids, spreads, and m-systems of polar spaces

Bamberg, J. & Penttila, T. 2009 In : Forum Mathematicum. 21, 2, p. 181-216

Research output: Contribution to journalArticle

Polar Space
Collineation
Primitive Group
Quadric
Corollary
9 Citations

A hemisystem of a nonclassical generalised quadrangle

Bamberg, J., De Clerck, F. & Durante, N. 2009 In : Designs Codes and Cryptography. 51, 2, p. 157–165

Research output: Contribution to journalArticle

Generalized Quadrangle
Geometry
Partial
Line
Quadric
19 Citations

Tight sets and m-ovoids of generalised quadrangles

Bamberg, J., Law, M. & Penttila, T. 2009 In : Combinatorica. 29, 1, p. 1-17

Research output: Contribution to journalArticle

Generalized Quadrangle
Set of points
Odd
Intersection
Lower bound
2008
1 Citations

A construction of one-dimensional affine flag-transitive linear spaces

Pauley, M. J. & Bamberg, J. 2008 In : Finite Fields and their Applications. 14, 2, p. 537-548

Research output: Contribution to journalArticle

Flag-transitive
Linear Space
Automorphism Group
Projective Space
Affine transformation

Elation generalized quadrangles for which the number of lines a point is the successor of a prime

Bamberg, J., Penttila, T. J. & Schneider, C. 2008 In : Journal of the Australian Mathematical Society. 85, 3, p. 289-303

Research output: Contribution to journalArticle

Generalized Quadrangle
Flock
Line
Cone
3 Citations

Elation generalized quadrangles for which the number of lines on a point is the successor of a prime

Bamberg, J., Penttila, T. & Schneider, C. 2008 In : Journal of the Australian Mathematical Society. 85, p. 289-303

Research output: Contribution to journalArticle

10 Citations

Overgroups of Cyclic Sylow Subgroups of Linear Groups

Bamberg, J. & Penttila, T. 2008 In : Communications in Algebra. 36, 7, p. 2503-2543

Research output: Contribution to journalArticle

Sylow Subgroup
Linear Group
Polar Space
Collineation
General Linear Group
4 Citations

Transitive decompositions of graph products: rank 3 grid type

Bamberg, J., Pearce, G. & Praeger, C. 2008 In : Journal of Group Theory. 11, 2, p. 185-228

Research output: Contribution to journalArticle

Graph Products
Grid
Decompose
Cartesian product
Graph in graph theory
2007
35 Citations

Tight sets and m-ovoids of finite polar spaces

Bamberg, J., Law, M., Kelly, S. A. & Penttila, T. 2007 In : Journal of Combinatorial Theory Series A. 114, 7, p. 1293-1314

Research output: Contribution to journalArticle

Polar Space
Generalized Quadrangle
Set of points
Unification
Projective Space
2006

Transitive eggs

Bamberg, J. & Penttila, T. 2006 In : Innovations in Incidence Geometry. 4, p. 1-12

Research output: Contribution to journalArticle

Collineation
Field extension
Quadric
2005
1 Citations

Bounds and Quotient Actions of Innately Transitive Groups

Bamberg, J. 2005 In : Journal of the Australian Mathematical Society. 79, p. 95-112

Research output: Contribution to journalArticle

Quotient
Primitive Group
Permutation group
Classify
2004
16 Citations
Permutation group
Normal subgroup
Finite Group
Characterization Theorem
Structure Theorem
8 Citations

Symplectic Spreads

Ball, S., Bamberg, J., Lavrauw, M. & Penttila, T. 2004 In : Designs Codes and Cryptography. 32, 1-3, p. 9-14

Research output: Contribution to journalArticle

Odd
Family

Totally Goldbach numbers and related conjectures

Brouwers, D. V. G., Bamberg, J. & Cairns, G. 2004 In : Australian Mathematical Society Gazette. 31, 4, p. 251-255

Research output: Contribution to journalArticle

2003
15 Citations

The Crystallographic Restriction, Permutations, and Goldbach's Conjecture

Bamberg, J., Cairns, G. & Kilminster, D. 2003 In : American Mathematical Monthly. 110, 3, p. 202-209

Research output: Contribution to journalArticle

2000
8 Citations

Non-free points for groups generated by a pair of 2 × 2 matrices

Bamberg, J. 2000 In : Journal of the London Mathematical Society. 62, 3, p. 795–801

Research output: Contribution to journalArticle