Seminar series
Date
Wed, 14 Nov 2018
16:30
16:30
Location
C1
Speaker
David Hume
Organisation
Oxford University
Polycyclic groups either have polynomial growth, in which case they are virtually nilpotent, or exponential growth. I will give two interesting examples of "small" polycyclic groups which are extensions of $\mathbb{R}^2$ and the Heisenberg group by the integers, and attempt to justify the claim that they are small by sketching an argument that every exponential growth polycyclic group contains one of these.