Rupert McCallum

activity

20102026

most citedTopological rigidity in totally disconnected locally compact groups

2 citations · 4 across the 13 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.GR2014

Building lattices and zeta functions

Anton Deitmar, Ming-Hsuan Kang, Rupert McCallum

We introduce the notion of a building lattice generalizing tree lattices. We give a Lefschetz formula and apply it to geometric zeta functions. We further generalize Bass's approac…

math.GR2014

Free subgroups of special linear groups

Rupert McCallum

We present a proof of the following claim. Suppose that $n$ is an integer such that $n > 1$ and that $k$ is any field. Suppose that $g$ is an element of $SL (n, k)$ of infinit…

math.LO2014

Intrinsic justifications for large-cardinal axioms

Rupert McCallum

William Tait and Peter Koellner have written on the topic of which reflection principles are intrinsically justified. Phillip Welch and Sam Roberts have recently sought to motivate…

math.GR2014

Rigidity of the group topology for closed Weyl transitive groups of automorphisms of a regular locally finite building

Rupert McCallum

We prove that if $G$ is a group of automorphisms of a regular locally finite building which is closed in the compact-open topology and acts Weyl transitively on the building, then…