Submission date: 4 July 2019

Abstract:

A group is finitely axiomatizable (FA) in a class 𝓒 if it can be determined up to isomorphism within 𝓒 by a sentence in the first-order language of group theory. We show that profinite groups of various kinds are FA in the class of profinite groups. Reasons why certain groups cannot be FA are also discussed.

Mathematics Subject Classification: 20A15, 20E18

Keywords and phrases:

Full text arXiv 1907.02262: pdf, ps.