Line Patterns in Free Groups
classification
🧮 math.GR
keywords
freegrouplinespacedecompositionpatternpatternsrelated
read the original abstract
We study line patterns in a free group by considering the topology of the decomposition space, a quotient of the boundary at infinity of the free group related to the line pattern. We show that the group of quasi-isometries preserving a line pattern in a free group acts by isometries on a related space if and only if there are no cut pairs in the decomposition space.
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