Decomposition theorem on invertible substitutions

zbMath0924.20040MaRDI QIDQ1282238

Shunji Ito, Hiromi Ei

Publication date: 16 July 1999

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

automorphismsfree groupsSturmian sequencesbalanced wordsmonoids of invertible substitutions

Mathematics Subject Classification ID

Combinatorics on words (68R15) Free semigroups, generators and relations, word problems (20M05) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Automata sequences (11B85)

Related Items (10)

The structure of invertible substitutions on a three-letter alphabet ⋮ Substitutions with cofinal fixed points ⋮ Selfdual substitutions in dimension one ⋮ Invertible substitutions and Sturmian sequences. ⋮ Stepped surfaces and Rauzy fractals induced from automorphisms on the free group of rank 2 ⋮ On substitution invariant Sturmian words: an application of Rauzy fractals ⋮ Higher dimensional extensions of substitutions and their dual maps ⋮ The structure of invertible substitutions on a three-letter alphabet ⋮ On invertible substitutions with two fixed points ⋮ Invertible substitutions on a three-letter alphabet.

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