Explicit computation of the index of a positive outer automorphism of the free group

Details Explicit computation of the index of a positive outer automorphism of the free group Explicit computation of the index of a positive outer automorphism of the free group

2010-12-15

arxiv.org/abs/1012.3267v2

Mathematics

Group Theory

31 pages, 2 figures. v2: small error in steps (3.1.3) and (3.1.4) of the algorithm corrected. Paragraph and examples added in

Scientific paper

We give an algorithm for finding the index of a positive outer automorphism
of the free group, and prove the algorithm exits in a finite time.

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