Title (eng)

A GEOMETRIC PROOF OF THE STRUCTURE THEOREM FOR CYCLIC SPLITTINGS OF FREE GROUPS

Author

Christopher Cashen

Description

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.

Object languages

English

Rights

© All rights reserved

Classification

free group, virtually free group, group splitting