Submission date: 3 February 2024

Abstract:

We consider the logic space of countable (enumerated) groups and show that closed subspaces corresponding to some standard classes of groups have (do not have) generic groups.

Mathematics Subject Classification: 03C60, 03C15, 03E15, 20F10, 20F05, 20F18, 20F50, 20F60, 03C25

Keywords and phrases:

Full text arXiv 2402.02143: pdf, ps.