Specular sets
Discrete Mathematics
2016-05-31 v2
Abstract
We introduce the notion of specular sets which are subsets of groups called here specular and which form a natural generalization of free groups. These sets are an abstract generalization of the natural codings of linear involutions. We prove several results concerning the subgroups generated by return words and by maximal bifix codes in these sets.
Keywords
Cite
@article{arxiv.1505.00707,
title = {Specular sets},
author = {Valérie Berthé and Clelia De Felice and Vincent Delecroix and Francesco Dolce and Julien Leroy and Dominique Perrin and Christophe reutenauer and Giuseppina Rindone},
journal= {arXiv preprint arXiv:1505.00707},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1405.3529