A note on pseudofinite groups of finite centraliser dimension

2021/06/10 by Karhumäki, Ulla
#FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.2106.05698

Abstract

We give a structural theorem for pseudofinite groups of finite centraliser dimension. As a corollary, we observe that there is no finitely generated pseudofinite group of finite centraliser dimension.

Related

• Locally finite groups of finite centraliser dimension
• Model theory of finite and pseudofinite groups
• Finite rank and pseudofinite groups
• Pseudofinite groups with NIP theory and definability in finite simple groups
• Centralizers in pseudo-finite groups