3 papers
math.GR2025
On some relatively free pro-p groups
Dan Segal
It is shown that the relatively free centre-by-metabelian and (class-2 nilpotent)-by-abelian pro-p groups on 2 generators are each finitely axiomatizable in the class of all profin…
math.GR2023
On the finite axiomatizability of some metabelian profinite groups
Dan Segal
Finitely generated (non-abelian) free metabelian pro-p groups, and wreath products of f.g. free abelian pro-p groups, are all finitely axiomatizable in the class of all profinite g…
math.GR2023
Commensurability and bi-interpretability of groups
Dan Segal
Commensurable groups are bi-interpretable, under suitable definability conditions.