Stallings foldings and the subgroup structure of free groups

Details Stallings foldings and the subgroup structure of free groups Stallings foldings and the subgroup structure of free groups

2002-02-27

arxiv.org/abs/math/0202285v1

J. Algebra 248 (2002), no 2, pp. 608-668

Mathematics

Group Theory

41 pages, 10 figures

Scientific paper

We re-cast in a more combinatorial and computational form the foldings
approach of John Stallings and pursue a detailed study of the subgroup
structure of free groups. In particular, we introduce the notions of an
"algebraic" and a "free" extension for subgroups of free groups and apply these
notions to obtain a number of algebraic and algorithmic results.

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