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Topology Seminar - Sean Cleary

Sean Cleary
November 12, 2019
4:10PM - 5:10PM
Baker Systems Engineering 0394

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Add to Calendar 2019-11-12 16:10:00 2019-11-12 17:10:00 Topology Seminar - Sean Cleary Title: Deep dead ends in finitely presented groups Speaker: Sean Cleary - City College of New York Abstract: A dead end in the Cayley graph of a finitely generated group with respect to a particular generating set is an element beyond which a geodesic ray in the Cayley graph from the identity cannot be extended. Dead ends occur in a variety of settings, and occur in different levels of severity, measured by the depth of a dead end. I will describe some aspects of dead end phenonema in several families of groups, including an interesting finitely-presented metabelian group constructed by Baumslag. This last example is a finitely-presented group with unbounded dead-end depth, shown in joint work with Tim Riley. Seminar Link Baker Systems Engineering 0394 Department of Mathematics math@osu.edu America/New_York public

Title: Deep dead ends in finitely presented groups

Speaker: Sean Cleary - City College of New York

Abstract: A dead end in the Cayley graph of a finitely generated group with respect to a particular generating set is an element beyond which a geodesic ray in the Cayley graph from the identity cannot be extended. Dead ends occur in a variety of settings, and occur in different levels of severity, measured by the depth of a dead end. I will describe some aspects of dead end phenonema in several families of groups, including an interesting finitely-presented metabelian group constructed by Baumslag. This last example is a finitely-presented group with unbounded dead-end depth, shown in joint work with Tim Riley.

Seminar Link

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