##### SymOmega

SymOmega is a mathematical blog run by three CMSC Mathematicians, Michael Giudici, John Bamberg and Gordon Royle.

##### Arxiv

Find in one click all the publications of our members that are deposited on the Arxiv.

##### Conferences

### AMSI workshop, February 01-03 2012

John Bamberg, Alice Devillers, Michael Giudici, Cai Heng Li, Cheryl Praeger and Akos Seress attended and all gave talks at the AMSI workshop on 'Connecting finite and infinite mathematics through symmetry' February 1-3 *Website*.

### Symmetries of Discrete Objects, February 2012

Michael Giudici and Akos Seress attended and gave talks at the conference on Symmetries of Discrete Objects in Queenstown, New Zealand. *Website**.*

### International Number Theory Conference in Memory of Alf van der Poorten

Cheryl Praeger and Akos Seress attended the International Number Theory Conference in Memory of Alf van der Poorten, AM in Newcastle, 12 - 16 March, 2012 *Website**.*

### International conference on Frontiers of Mathematics

Cheryl Praeger was an invited speaker at the International conference on Frontiers of Mathematics, IMPA, Rio de Janeiro, Brazil, April 20-25, 2012 *Website**.*

### Antalya Algebra Days XIV

Akos Seress is invited speaker at Antalya Algebra Days XIV, in Çeşme, Turkey May 16-20, 2012. *Website*.

### ISSAC 2012

Akos Seress will participate and give a talk at ISSAC 2012, 37th International Symposium on Symbolic and Algebraic Computation, Grenoble, France 22-25 July, 2012. *Website*.

### Combinatorics 2012

John Bamberg will attend Combinatorics 2012, Perugia (Italy), September 9 - 15, 2012. *Website*.

### Frank De Clerck

John Bamberg will attend and is an organiser of the Conference on finite geometries in honour of Frank De Clerck , Ferrara, Italy, September 17-18, 2012. Cheryl Praeger will be invited speaker. *Website*.

##### Recent Visitors

Jan Saxl, University of Cambridge, 26 December 2011- 31 January 2012

Eric Swartz, University of Binghamton, 4 January - 27 January 2012

Martin Liebeck, Imperial College 06 January -31 January 2012

Gabriel Verret, University of Ljubljana, 01 February - 01 March 2012

Harald Helfgott, ENS, Paris, 03 March - 10 March 2012

Anne Thomas, University of Sydney, 10-14 April 2012

Steve Noble, Brunel university, London, April 16- May 12

Alla Detinko, National University of Ireland, Ireland, 13 May 2012 - 10 June 2012

Dane Flannery, National University of Ireland, Ireland, 13 May 2012 - 27 May 2012

##### News

Michael Giudici moved from his Australian Research Fellowship to a position as an Associate Professor in February.

Alice Niemeyer is back from an extended visit to the RWTH Aachen, Germany.

The Centre had its first ever research retreat, in Yanchep on 11 - 14 April 2012. Staff and students worked together on problems, forming new collaborations. We are now working on several of the problems discussed and hope to get a few publications as a result of this trip. This was a very successful venture and we hope to make it an annual event. The event was attended by John Bamberg, Brian Corr, Alice Devillers, Michael Giudici, Wei Jin, Cai-Heng Li, Sylvia Morris, Guang Rao, Gordon Royle, Akos Seress and Anne Thomas (University of Sydney).

Alice Devillers visited James Parkinson at the University of Sydney in December 2011, and worked with James and Hendrik Van Maldeghem.

Mark Ioppolo and David Raithel are due to complete their honours.

Michael Giudici, John Bamberg and Murray Smith put on a morning of activities for Shenton College students.

Neil Gillespie completed his PhD on Neighbour Transitive Codes in Hamming Graphs. His graduation ceremony was held on March 29, 2012.

Cheryl Praeger attended the IMU Executive Committee in Rio, Brazil. Meetings were held from April 21 -23, and the conference was held on April 24-25, 2012.

Cheryl Praeger attended the ARC College of Experts April 30 - May 5, 2012.

Akos Seress gave a seminar talk at the University of Otago, Dunedin, New Zealand, February 24, 2012.

Akos Seress gave a colloquium and a seminar talk at Colorado State University, Fort Collins, Colorado, USA, March 22 - 23, 2012

##### Papers

### Published Papers

John Bamberg, Michael Giudici, Joy Morris, Gordon Royle, Pablo Spiga, Generalised quadrangles with a group of automorphisms acting primitively on points and lines, J. Combin. Theory Ser. A 119 (2012) 1479-1499.

Timothy Burness, Cheryl Praeger, ÁkosSeress, Extremely primitive classical groups, J. Pure and Applied Algebra 216 (2012), 1580-1610.

Ashraf Daneshkhah, Alice Devillers and Cheryl E. Praeger, Symmetry properties of subdivision graphs, Discrete Mathematics, 312 , pp. 86-93 (2012).

Alice Devillers, Michael Giudici, Cai Heng Li and Cheryl E. Praeger, An infinite family of biquasiprimitive 2-arc transitive cubic graphs, Journal of Algebraic Combinatorics: Volume 35, Issue 2 (2012), 173-192.

Alice Devillers, Michael Giudici, Cai Heng Li and Cheryl E. Praeger, Locally s-distance transitive graphs, Journal of Graph Theory, 69(2), 176-197 (2012).

Michael Giudici, Cai Heng Li, Geoffrey Pearce, and Cheryl Praeger, Basic and degenerate pregeometries, Eur. J. Combin. 33 (2012), 1178-1189.

Cai Heng Li, Zhe Liu and Z. P. Lu, A classification of edge-transitive tetravalent Cayley graphs of square-free order, Disc. Math. 312 (2012), 195-1967.

Cai Heng Li, S. J. Song and D. J. Wang, Classifying a family of edge-transitive metacirculant graphs, J. Algebraic Combin. 35 (2012), 497-513.

Alice Niemeyer, Sabina B. Pannek and Cheryl E. Praeger, Irreducible linear subgroups generated by pairs of matrices with large irreducible submodules, Archiv der Mathematik. 98, Number 2 (2012), 105-114.

Cheryl E. Praeger, Bernhard Hermann Neumann 1909 - 2002, republished with permission in Bull. London Math. Soc. 44 (2012), 375-402.

### Accepted papers

Carmen Amarra, Michael Giudici and Cheryl E. Praeger, Quotient-complete arc-transitive graphs. Accepted in European J. Combin.

Carmen Amarra, Michael Giudici and Cheryl Praeger, Symmetric diameter two graphs with affine-type vertex-quasiprimitive automorphism group. Accepted in Des. Codes. Cryptogr.

John Bamberg, Alice Devillers, and Jeroen Schillewaert, Weighted intriguing sets of finite generalised quadrangles. Accepted in Journal of Algebraic Combinatorics.

John Bamberg, Nicola Durante, Low dimensional models of the finite split Cayley hexagon. Accepted in Contemporary Mathematics.

John Bamberg, Michael Giudici, Martin Liebeck, Cheryl Praeger and Jan Saxl, The classification of almost simple 3/2-transitive groups. Accepted in Trans. Amer. Math. Soc.

John Bamberg, Michael Giudici and Gordon F. Royle, Hemisystems of small flock generalized quadrangles, Accepted in Des. Codes .Cryptogr.

Timothy Burness, Cheryl Praeger, and Akos Seress. Extremely primitive sporadic and alternating groups. Accepted in Bull. London Math. Soc.

Philippe Cara, Alice Devillers, Michael Giudici and Cheryl E. Praeger, Quotients of incidence geometries, Designs, Codes and Cryptography Volume 64, Issue 1, 105-128 (2012).

S. Fujita, A. Gyarfas, C. Magnant and A. Seress: Disconnected colors in generalized Gallai colorings, Accepted in J. Graph Theory.

Neil Gillespie and Cheryl Praeger. Neighbour transitivity on codes in Hamming graphs. Accepted in Des. Codes Crypt.

Cai Heng Li and Hua Zhang, The finite primitive and bi-primitive 2-path-transitive graphs. Accepted in J. Algebraic Combin.

Cai Heng Li and Hua Zhang, On finite 2-path-transitive graphs. Accepted in J. Graph Theory

Alice Niemeyer, Tomasz Popiel and Cheryl E. Praeger, Algorithms to identify abundant p-singular elements in finite classical groups. Accepted in Bulletin of the Australian Mathematical Society.

Cheryl Praeger, Pablo Spiga and Gabriel Verret, Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph. Accepted in J. Combin. Theory, Series B.

Cheryl Praeger and Csaba Schneider. Embedding permutation groups into wreath products in product action J. Austral. Math. Soc. Accepted January 16, 2012.

Cheryl Praeger and Akos Seress, Regular semisimple elements and involutions in finite general linear groups of odd characteristic. Accepted in Proc. Amer. Math. Soc.

P. Puliyambalath, A. Seress, I. Weisz: All lambda-designs with small lambda are type-1. Accepted in J. Combinatorial Designs.

Akos Seress. Construction of 2-closed M-representations. Accepted in Proc. Intern. Symp. on Symbolic and Algebraic Computation.

### Submitted papers

Simon Ball, John Bamberg, Alice Devillers, Klara Stokes, An alternative way to generalise the pentagon.

J. Bamberg, N. Gill, T. Hayes, H. Helfgott, Á. Seress, P. Spiga, Bounds on the diameter of Cayley graphs of the symmetric group.

Alice Devillers, Wei Jin, Cai Heng Li and Cheryl E. Praeger, On s-geodesic transitive graphs.

Alice Devillers, Wei Jin, Cai Heng Li and Cheryl E. Praeger, Line graphs and 2-geodesic transitivity.

Alice Devillers, Wei Jin, Cai Heng Li and Cheryl E. Praeger, Local 2-geodesic transitivity and clique graphs.

Alice Devillers, James Parkinson, Hendrik Van Maldeghem, Automorphisms and opposition in twin buildings.

Silvio Dolfi, R. M. Guralnick, Cheryl E. Praeger and Pablo Spiga, Finite primitive permutation groups have at most two coprime subdegrees.

Neil Gillespie and Cheryl Praeger. Uniqueness of certain completely regular Hadamard codes.

Michael Giudici, Martin W. Liebeck, Cheryl E. Praeger, Jan Saxl and Pham Huu Tiep, Arithmetic results on orbits of linear groups, submitted

Simon Guest and Cheryl E. Praeger. Proportions of elements with given 2-part order in finite classical groups of odd characteristic.

Steve Linton, Yohei Negi, Alice C. Niemeyer and Cheryl E. Praeger. Finding permutations containing long cycles in finite alternating and symmetric groups acting on subsets.

Alice Niemeyer, Tomasz Popiel and Cheryl E. Praeger, Abundant p-singular elements in finite classical groups.

Alice C. Niemeyer and Cheryl Praeger, Elements in finite classical groups whose powers have large 1-Eigenspaces.