8 papers
Homomorphisms from topological groups to inverse limits
Gregory R. Conner, Samuel M. Corson, Curtis Kent
We prove a general theorem giving constraints on maps from certain topological groups to inverse limits of bounded torsion groups. From this we obtain some automatic continuity and…
Higman-Thompson groups and profinite properties of right-angled Coxeter groups
Samuel M. Corson, Sam Hughes, Philip Möller +1
We prove that every right-angled Coxeter group (RACG) is profinitely rigid amongst all Coxeter groups. On the other hand we exhibit RACGs which have infinite profinite genus amongs…
The double cone group is isomorphic to the archipelago group
Samuel M. Corson
We prove the conjecture of James W. Cannon and Gregory R. Conner that the fundamental group of the Griffiths double cone space is isomorphic to that of the harmonic archipelago. Fr…
Infinite simple groups with no proper abnormal subgroups
Samuel M. Corson
Utilizing an embedding theorem of Obraztsov we construct groups as described in the title. This provides an affirmative answer to a problem of D. O. Revin. The constructed groups a…
On homomorphic images of ultraproducts
Samuel M. Corson
In this short note we answer some questions of Bergman regarding homomorphic images of (ultra)products of groups.
Bounded displacement permutations on tree-like spaces
Samuel M. Corson
It is shown that if a metric space exhibits certain finiteness and tree-like properties, then its group of bounded displacement does not include a subgroup isomorphic to the dyadic…