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

Contributor(s): Detinko, Alla | Flannery, D. L. (Dane Laurence), 1965- | O'Brien, Eamonn A | De Br�un Workshop (5th : 2011 : Galway, Ireland)Material type: Text

TextSeries: Lecture notes in mathematics (Springer-Verlag) ; 2070.Publication details: London ; New York : Springer, c2013Description: xiii, 107 p. ; 24 cmISBN: 9781447148135 (alk. paper); 1447148134 (alk. paper)Other title: Groups, combinatorics, computingSubject(s): Group theory -- Congresses | Combinatorial group theory -- Congresses | Combinatorial probabilities -- Congresses | Computer science -- CongressesAdditional physical formats: Online version:: Probabilistic group theory, combinatorics, and computing.DDC classification: 512.2 LOC classification: QA174 | .P76 2013QA3 | .L28 no.2070

Contents:

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.

Abstract: "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.

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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.

"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.

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