2 citations · 2 across the 2 of their papers we have counts for
4 papers · 1 filter
Multidimensional asymptotic classes
Sylvy Anscombe, Dugald Macpherson, Charles Steinhorn +1
We develop a general framework (multidimensional asymptotic classes, or m.a.c.s) for handling classes of finite first order structures with a strong uniformity condition on cardina…
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…
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…