arXiv Open Access 2024

Algebraic characterization of dendricity

France Gheeraert Herman Goulet-Ouellet Julien Leroy Pierre Stas

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Abstrak

Dendric shift spaces simultaneously generalize codings of regular interval exchanges and episturmian shift spaces, themselves both generalizations of Sturmian words. One of the key properties enforced by dendricity is the Return Theorem. In this paper, we prove its converse, providing the following natural algebraic perspective on dendricity: A minimal shift space is dendric if and only if every set of return words is a basis of the free group over the alphabet.

Topik & Kata Kunci

cs.DM math.CO math.DS math.GR

Penulis (4)

France Gheeraert

Herman Goulet-Ouellet

Julien Leroy

Pierre Stas

Format Sitasi

APA MLA BibTeX

Gheeraert, F., Goulet-Ouellet, H., Leroy, J., Stas, P. (2024). Algebraic characterization of dendricity. https://arxiv.org/abs/2406.15075

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓