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Journal articles
Return words of linear involutions and fundamental groups
Abstract : We investigate the shifts associated with natural codings of linear in-volutions. We deduce from the geometric representation of linear invo-lutions as Poincaré maps of measured foliations a suitable definition of return words which yields that the set of return words to a given word is a symmetric basis of the free group on the underlying alphabet A. The set of return words with respect to a subgroup of finite index G of the free group on A is also proved to be a symmetric basis of G.
Cited literature [27 references]
https://hal-upec-upem.archives-ouvertes.fr/hal-01367712
Contributor : Francesco Dolce <>
Submitted on : Friday, September 16, 2016 - 3:35:16 PM
Last modification on : Tuesday, February 9, 2021 - 1:43:46 PM
Long-term archiving on: : Saturday, December 17, 2016 - 2:08:06 PM
Contributor : Francesco Dolce <>
Submitted on : Friday, September 16, 2016 - 3:35:16 PM
Last modification on : Tuesday, February 9, 2021 - 1:43:46 PM
Long-term archiving on: : Saturday, December 17, 2016 - 2:08:06 PM
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ReturnWordsOfLinearInvolutions...
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