On omega-categorical groups and rings of finite burden

Frank Olaf Wagner (1) , Jan Dobrowolski (2)

1 AGL - Algèbre, géométrie, logique
2 Instytut Matematyczny

An ω-categorical group of finite burden is virtually finite-by-abelian; an ω-categorical ring of finite burden is virtually finite-by-null; an ω-categorical NTP2 ring is virtually nilpotent.

Domaines: Logique [math.LO]; Théorie des groupes [math.GR]

Frank Olaf Wagner, Jan Dobrowolski. On omega-categorical groups and rings of finite burden. 2019. ⟨hal-01822386v4⟩