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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…
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…
A permutation group acting transitively on certain collections of models
Samuel M. Corson, Saharon Shelah
It is shown, from -centered Martin's Axiom, that there exists a proper dense subgroup of the symmetric group on a countably infinite set whose natural action on sufficiently fle…
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.