On inp-minimal omega-categorical groups and rings

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

1 AGL - Algèbre, géométrie, logique
2 Instytut Matematyczny

An ω-categorical inp-minimal group is virtually finite-by-abelian; an ω-categorical inp-minimal ring is virtually finite-by-null; an ω-categorical NTP 2 ring is virtually nilpotent.

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

Frank Olaf Wagner, Jan Dobrowolski. On inp-minimal omega-categorical groups and rings. 2018. ⟨hal-01822386v1⟩