Datensatz

Zusammenfassung

Let a finitely generated group $G$ split as a graph of groups. If edge groups
are undistorted and do not contribute to the Morse boundary $\partial_MG$, we
show that every connected component of $\partial_MG$ with at least two points
originates from the Morse boundary of a vertex group. Under stronger
assumptions on the edge groups (such as wideness in the sense of
Dru\c{t}u-Sapir), we show that Morse boundaries of vertex groups are
topologically embedded in $\partial_MG$.