4 papers
Directions and scale-multiplicative semigroups in restricted Burger-Mozes groups
Timothy P. Bywaters
We study the scale function, space of directions and scale-multiplicative semigroups for restricted Burger-Mozes groups. We relate these general notions to intrinsic properties of…
The space of directions for hyperbolic totally disconnected locally compact groups
Timothy P. Bywaters
The space of directions is a notion of boundary associated to an arbitrary totally disconnected locally compact group. We explicitly calculate the space of directions of a group ac…
Willis Theory via Graphs
Timothy P. Bywaters, Stephan Tornier
We study the scale and tidy subgroups of an endomorphism of a totally disconnected locally compact group using a geometric framework. This leads to new interpretations of tidy subg…
Contraction Groups and Passage to Subgroups and Quotients for Endomorphisms of Totally Disconnected Locally Compact Groups
Timothy P. Bywaters, Helge Glöckner, Stephan Tornier
The concepts of the scale and tidy subgroups for an automorphism of a totally disconnected locally compact group were defined in seminal work by George A. Willis in the 1990s, and…