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We give a geometric proof of a well known theorem
that describes splittings of a free group as an amalgamated product
or HNN extension over the integers. The argument generalizes to
give a similar description of splittings of a virtually free group over
a virtually cyclic group.
Cashen, Christopher
hdl:11353/10.537493
https://phaidra.univie.ac.at/o:537493
A GEOMETRIC PROOF OF THE STRUCTURE THEOREM FOR CYCLIC SPLITTINGS OF FREE GROUPS
free group, virtually free group, group splitting
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