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.
← Back to the seminar home page