A Geometric Proof of the Structure Theorem for Cyclic Splittings of Free Groups
classification
🧮 math.GR
keywords
freegroupsplittingscyclicgeometricgiveprooftheorem
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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.
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