Cutting sequences and palindromes. (English) Zbl 1194.20026
Gardiner, Frederick P. (ed.) et al., Geometry of Riemann surfaces. Proceedings of the Anogia conference to celebrate the 65th birthday of William J. Harvey, Anogia, Crete, Greece, June–July 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-73307-6/pbk). London Mathematical Society Lecture Note Series 368, 194-216 (2010).
From the introduction: We discuss several more or less well-known theorems about primitive and palindromic words in two generator free groups. We describe a geometric technique that ties all of these theorems together and gives new proofs of all but the last of them, which is an enumerative scheme for palindromic words. This geometric approach and the enumerative scheme will be useful in applications. These applications will be studied elsewhere [the authors, Conform. Geom. Dyn. 13, 76-90 (2009; Zbl 1193.30055)].
For the entire collection see [Zbl 1182.30003].
For the entire collection see [Zbl 1182.30003].
MSC:
| 20E05 | Free nonabelian groups |
| 20F05 | Generators, relations, and presentations of groups |
| 68R15 | Combinatorics on words |
