Christopher H. Cashen
Published 2012-08-17, updated 2012-08-22Version 2
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.
Comments: 11 pages, v2 added a reference
The dynamics and geometry of free group endomorphisms
A geometric proof that SL_2(Z[t,t^-1]) is not finitely presented
Cyclic splittings of pro-$\mathcal{C}$ groups
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