- Title
- Dynamics of flat actions on totally disconnected, locally compact groups
- Creator
- Reid, Colin D.
- Relation
- ARC.DP120100996
- Relation
- New York Journal of Mathematics Vol. 22, p. 115-190
- Relation
- http://nyjm.albany.edu/j/2016/Vol22.htm
- Publisher
- University at Albany, College of Arts and Sciences
- Resource Type
- journal article
- Date
- 2016
- Description
- 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 H-invariant open subgroups of G; the smallest closed H-invariant subgroup D such that no H-orbit on G/D accumulates at the trivial coset; and the group generated by the closures of contraction groups of elements of H on G.
- Subject
- t.d.l.c. groups; tidy theory
- Identifier
- http://hdl.handle.net/1959.13/1322840
- Identifier
- uon:24669
- Identifier
- ISSN:1076-9803
- Language
- eng
- Reviewed
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