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Zbl 0874.20040
Lothaire, M.
(Perrin, D.; Reutenauer, C.; Berstel, J.; Pin, J. E.; Pirillo, G.; Foata, D.; Sakarovitch, J.; Simon, I.; Schützenberger, M. P.; Choffrut, C.; Cori, R.; Lyndon, Roger; Rota, Gian-Carlo)
Combinatorics on words. Foreword by Roger Lyndon. 2nd ed.
(English)
[B] Encyclopedia of Mathematics and Its Applications. 17. Cambridge: Cambridge University Press. xvii, 238 p. \sterling 17.95; \$ 29.95 (1997). ISBN 0-521-59924-5/pbk

The book is a paperback version of {\it M. Lothaire}'s ``Combinatorics on words". First published in 1983 (Zbl 0514.20045), it is now a well recognized reference on the subject. This edition, dedicated to the memory of Marcel-Paul Schützenberger, contains many corrections but no chapter has been updated. It is worth mentioning the comment by {\it Dominique Perrin} in the preface explaining the origin of the name Lothaire.
[G.Melançon (Bordeaux)]
MSC 2000:
*20M05 Free semigroups
20-02 Research monographs (group theory)
20M35 Semigroups in automata theory, linguistics, etc.
05-02 Research monographs (combinatorics)
68Q45 Formal languages
94B25 Combinatorial codes
03D03 Rewriting systems
68R15 Combinatorics on words

Keywords: combinatorics on words; free semigroups; free monoids; free algebras; automata; formal languages; asymptotic properties of words; Lie algebras; nilpotent groups; algebras with polynomial identities

Citations: Zbl 0514.20045

Cited in: Zbl 1133.68067

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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