Z-Structures on Product Groups
Abstract
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, 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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.