 

Colin D. Reid
Dynamics of flat actions on totally disconnected, locally compact groups view print


Published: 
February 11, 2016 
Keywords: 
T.d.l.c. groups, tidy theory 
Subject: 
22D05 


Abstract
Let G be a totally disconnected, locally compact group and let H be a virtually flat (for example, polycyclic) group of automorphisms of G. We study the structure of, and relationships between, various subgroups of G defined by the dynamics of H. In particular, we consider the following four subgroups: the intersection of all tidy subgroups for H on G (in the case that H is flat); the intersection of all Hinvariant open subgroups of G; the smallest closed Hinvariant subgroup D such that no Horbit on G/D accumulates at the trivial coset; and the group generated by the closures of contraction groups of elements of H on G.


Acknowledgements
The author is an ARC DECRA fellow. Research supported in part by ARC Discovery Project DP120100996.


Author information
University of Newcastle, School of Mathematical and Physical Sciences, Callaghan, NSW 2308, Australia
colin@reidit.net

