# Symmetries of Discrete Objects

I am just back from Queenstown, New Zealand where I was attending the Symmetries of Discrete Objects conference. The conference was well attended with many people from the graph symmetry, maps on surfaces and polytopes communities in attendance. The conference also served as a Magma workshop with four two lecture mini-courses on aspects to do with Magma. The conference was very well organised by Marston Conder from the University of Auckland and it was announced at the end of the conference that his colleague Dimitri Leemans will organise a sequel in four years time in Nelson.

The conference also won the award for most spectacular view from a lecture room: looking out across Lake Wakatipu to the Remarkables mountain range.

Some talks that I found particularly interesting were:

- Ian Wanless’s on autotopisms of Latin squares
- Tomaz Pisanski’s on GI graphs ( a generalisation of generalised Petersen graphs)
- Steve Wilson’s on Tricirculant edge-transitive tetravalent graphs
- Tom Tucker and Wilfried Imrich’s talks on distinguishability of graphs
- Gabriel Verret’s on his new census of cubic vertex-transitive graphs that I discussed in an earlier post

I also discovered during Eamonn O’Brien’s Magma course on PC-presentations that Sylow’s famous paper included a forgotten 4th theorem that essentially states that a p-group has a power-commutator presentation.

I spoke on my recent work on imprimitive rank three groups with Alice Devillers, Cai Heng Li, Geoffrey Pearce and Cheryl Praeger.

Should that be “forgotten 4th theorem” instead of “4th forgotten theorem”?

Yes should be forgotten 4th theorem. We haven’t forgotten the first three. I have corrected the post.