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arXiv · 1208.3652

A Geometric Proof of the Structure Theorem for Cyclic Splittings of Free Groups

Christopher H. Cashen
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Abstract

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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Christopher H. Cashen. 2012-08-17. A Geometric Proof of the Structure Theorem for Cyclic Splittings of Free Groups. https://arxiv.org/abs/1208.3652

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