18 citations · 34 across the 12 of their papers we have counts for
14 papers
Omega-categorical pseudofinite groups
Dugald Macpherson, Katrin Tent
We explore the interplay between omega-categoricity and pseudofiniteness for groups, conjecturing that omega-categorical pseudofinite groups are finite-by-abelian-by-finite. We sho…
Set-homogeneous hypergraphs
Amir Assari, Narges Hosseinzadeh, Dugald Macpherson
A -uniform hypergraph is set-homogeneous if it is countable (possibly finite) and whenever two finite induced subhypergraphs are isomorphic there is with…
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…
Profinite groups with NIP theory and -adic analytic groups
Dugald Macpherson, Katrin Tent
We consider profinite groups as 2-sorted first order structures, with a group sort, and a second sort which acts as an index set for a uniformly definable basis of neighbourhoods o…