2 citations · 3 across the 4 of their papers we have counts for
4 papers
Jordan permutation groups and limits of D-relations
Asma Ibrahim Almazaydeh, Dugald Macpherson
We construct via Fraïssé amalgamation an -categorical structure whose automorphism group is an infinite oligomorphic Jordan primitive permutation group preserving a `limit of $D…
Vapnik-Chervonenkis Dimension and Density on Johnson and Hamming Graphs
Bjarki Geir Benediktsson, Dugald Macpherson, Isolde Adler
VC-dimension and VC-density are measures of combinatorial complexity of set systems. VC-dimension was first introduced in the context of statistical learning theory, and is tightly…
Model theory of finite and pseudofinite groups
Dugald Macpherson
This is a survey, intended both for group theorists and model theorists, concerning the structure of pseudofinite groups, that is, infinite models of the first order theory of fini…
Pseudofinite groups with NIP theory and definability in finite simple groups
Dugald Macpherson, Katrin Tent
We show that any pseudofinite group with NIP theory and with a finite upper bound on the length of chains of centralisers is soluble-by-finite. In particular, any NIP rosy pseudofi…