Topology Seminar

Topology & Geometric Group Theory Seminar

Spring 2011

1:30 – 2:30, Malott 224

Tuesday, March 15

Juan Alonso, Cornell

New examples of the cyclic JSJ decomposition for groups

A JSJ decomposition of a group G is a splitting of G as a graph of groups satisfying certain properties. In some sense, it gives a "maximal factorization" of G with respect to amalgamated products and HNN extensions over cyclic subgroups.

I will present a brief introduction to this topic. Then I will turn to the problem of recognizing whether or not a given graph of groups is a JSJ decomposition of it's fundamental group. Some positive examples will be discussed. Namely, graphs of groups whose vertex groups are either infinite cyclic or surface groups, with some additional restrictions.

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