Splitting Line Patterns in Free Groups

Mathematics – Group Theory

Scientific paper

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22 pages, 6 figures; v2 fixed a few typos; v3 38 pages, 21 figures, goes better with beer

Scientific paper

There is a canonical JSJ-decomposition of a free group relative to a line
pattern.
This provides a characterization of virtually geometric multiwords. They are
the multiwords that are built from geometric pieces.

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