Semigroups, Formal Languages and Groups

Download or read book Semigroups, Formal Languages and Groups written by J.B. Fountain and published by Springer. This book was released on 1995-05-31 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups, Formal Languages and Groups contains articles that provide introductory accounts of recent research in rational languages and their connections with finite semigroups, including the celebrated BG=PG theorem, infinite languages, free profinite monoids and their applications to pseudovarieties, parallel complexity classes related to automata, semigroups and logic, algebraic monoids, geometric methods in semigroup presentations, automatic groups and groups acting on Lambda-trees. There is also an extensive survey of algorithmic problems in groups, semigroups and inverse monoids. In addition, the book includes hitherto unpublished research on monoids of Lie type and their representations, free actions of groups on Lambda-trees and an extension to arbitrary semigroups of the famous Krohn-Rhodes theorem.