3 papers
math.CO2020
Delandtsheer--Doyen parameters for block-transitive point-imprimitive 2-designs
Carmen Amarra, Alice Devillers, Cheryl E. Praeger
Delandtsheer and Doyen bounded, in terms of the block size, the number of points of a point-imprimitive, block-transitive 2-design. To do this they introduced two integer parameter…
math.GR2019
Generalised shuffle groups
Carmen Amarra, Luke Morgan, Cheryl E. Praeger
The mathematics of shuffling a deck of cards with two "perfect shuffles" was brought into clarity by Diaconis, Graham and Kantor. Here we consider a generalisation of this pro…
math.CO2017
Quotient-complete arc-transitive latin square graphs from groups
Carmen Amarra
We consider latin square graphs of the Cayley table of a given finite group . We characterize all pairs , where is a subgroup of autoparatopisms of t…