Profinite Semigroups and Symbolic Dynamics

• - Introduction. - Prelude: Profinite Integers. - Profinite Groups and Semigroups. - Free Profinite Monoids, Semigroups and Groups. - Shift Spaces. - Sturmian Sets and Tree Sets. - The Schützenberger Group of a Minimal Set. - Groups of Bifix Codes.

“This book is remarkable in several respects. It adds a new field of application to semigroup research and, to my knowledge, this is the only reference book on this emerging subject. It enables readers to delve deeper into the three aspects covered in the book: algebraic, topological and combinatorial. I highly recommend it to all mathematicians interested in symbolic dynamics, combinatorics on words or semigroup theory.” (Jean-Éric Pin, Semigroup Forum, Vol. 109 (3), 2024)