Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Group theory --- Combinatorial group theory --- Combinatorial probabilities --- Computer science --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Mathematical Theory --- Probabilistic combinatorics --- Combinatorial groups --- Groups, Combinatorial --- Mathematics. --- Group theory. --- Group Theory and Generalizations. --- Symbolic and Algebraic Manipulation. --- Probabilities --- Combinatorial analysis --- Data processing. --- Groups, Theory of --- Substitutions (Mathematics) --- Computer science—Mathematics.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This handbook covers the whole subject of computational group theory (CGT) at a level suitable for beginning graduate students who have some knowledge of group theory and computer algorithms. It develops the theory of algorithms in full detail, includes complexity analyses whenever possible, and highlights the connections between the different aspects of CGT and other areas of computer algebra. Several specialist sections provide pointers to the current state of the art in these areas, and all sections include exercises of varying difficulty. For each major collection of algorithms, the book includes a section describing applications both within and outside of group theory.

Group theory --- Numerical solutions of algebraic equations --- 512.54 --- 519.6 --- Groups. Group theory --- Computational mathematics. Numerical analysis. Computer programming --- Combinatorial group theory --- Finite groups --- Data processing. --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 512.54 Groups. Group theory --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Groups, Finite --- Modules (Algebra) --- Combinatorial groups --- Groups, Combinatorial --- Combinatorial analysis --- Data processing