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Titlebook: Probabilistic Group Theory, Combinatorics, and Computing; Lectures from the Fi Alla Detinko,Dane Flannery,Eamonn O‘Brien Book 2013 Springer

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书目名称Probabilistic Group Theory, Combinatorics, and Computing
副标题Lectures from the Fi
编辑Alla Detinko,Dane Flannery,Eamonn O‘Brien
视频video
概述Unique selection of frontier results which are not available in any other sources.Authors are world leading researchers.Each chapter is a ready-made graduate lecture course.Includes supplementary mate
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Probabilistic Group Theory, Combinatorics, and Computing; Lectures from the Fi Alla Detinko,Dane Flannery,Eamonn O‘Brien Book 2013 Springer
描述.Probabilistic Group Theory, Combinatorics and Computing is based on lecture courses held at the Fifth de Brún 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..
出版日期Book 2013
关键词Algorithm; Combinatorial design; Complexity; Group; Probability
版次1
doihttps://doi.org/10.1007/978-1-4471-4814-2
isbn_softcover978-1-4471-4813-5
isbn_ebook978-1-4471-4814-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag London 2013
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Probabilistic and Asymptotic Aspects of Finite Simple Groups, first two sections are concerned with random generation, while the third section focusses on some applications of probabilistic methods in representation theory. The final section deals with asymptotic aspects of the diameter and growth of Cayley graphs.
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Estimation Problems and Randomised Group Algorithms,ven of a variety of different approaches to estimating proportions of important element classes, including geometric methods, and the use of generating functions and the theory of Lie type groups.Numerous results concerning estimation in permutation groups and finite classical groups are surveyed.An
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Designs, Groups and Computing,gns. The focus is on certain block designs and their statistical efficiency measures, and in particular semiLatin squares, which are certain designs with additional block structure and which generalise Latin squares.
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0075-8434 ady-made graduate lecture course.Includes supplementary mate.Probabilistic Group Theory, Combinatorics and Computing is based on lecture courses held at the Fifth de Brún Workshop in Galway, Ireland in April 2011. Each course discusses computational and algorithmic aspects that have recently emerged
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Estimation Problems and Randomised Group Algorithms,g functions and the theory of Lie type groups.Numerous results concerning estimation in permutation groups and finite classical groups are surveyed.An application is given to the construction of involution centralisers, a crucial component in the constructive recognition of finite simple groups.
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