Z-Structures on Product Groups


Carrie Tirel, Ph. D. Defense

Monday, August 2, 2010, 1:00 pm, EMS E408

A Z-structure on a group G, defined by M. Bestvina, is a pair (X, Z) of spaces such that X is a compact ER, Z is a Z-set in X, G acts properly and cocompactly on X=X\Z, and the collection of translates of any compact set in X forms a null sequence in X. It is natural to ask whether a given group admits a Z-structure. In this paper, we will show that if two groups each admit a Z-structure, then so do their free and direct products.

Refreshments will be provided in EMS E408 at 12:30.


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