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Stallings Foldings and Subgroups of Free Groups

✍ Scribed by Ilya Kapovich; Alexei Myasnikov

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 409 KB
Volume: 248
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9033

No coin nor oath required. For personal study only.

✦ Synopsis

We re-cast in a more combinatorial and computational form the topological approach of J. Stallings to the study of subgroups of free groups.  2002 Elsevier Science (USA) Convention 2.6 (Reduced Words and Reduced Paths). Recall that a word w in the alphabet = X ∪ X -1 is said to be freely reduced if it does not contain a subword of the form aa -1 or a -1 a for a ∈ X.

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