Probabilistic group theory, combinatorics, and computing : lectures from the Fifth de Br�un Workshop / Alla Detinko, Dane Flannery, Eamonn O'Brien, editors.

Lectures presented at the Fifth "de Br�un workshop," entitled Groups, combinatorics, computing, held at National University of Ireland, Galway, April 11-16, 2011.

Includes bibliographical references.

1. Probabilistic and asymptotic aspects of finite simple groups / Martin W. Liebeck -- 2. Estimation problems and randomised group algorithms / Alice C. Niemeyer, Cheryl E. Praeger, and �Akos Seress -- 3. Designs, groups and computing / Leonard H. Soicher.

"Probabilistic group theory, combinatorics, and computing is based on lecture courses held at the Fifth de Br�un Workshop in Galway, Ireland in April 2011. Each course discusses computational and algorithmic aspects that have recently emerged at the interface of group theory and combinatorics, with a strong focus on probabilistic methods and results. The courses served as a forum for devising new strategic approaches and for discussing the main open problems to be solved in the further development of each area. The book represents a valuable resource for advanced lecture courses. Researchers at all levels are introduced to the main methods and the state-of-the-art, leading up to the very latest developments. One primary aim of the book's approach and design is to enable postgraduate students to make immediate use of the material presented." -- P.4 of cover.