Sinossi
This is the first-ever book on computational group theory.It provides extensive and up-to-date coverage of thefundamental algorithms for permutation groups with referenceto aspects of combinatorial group theory, soluble groups,and p-groups where appropriate.The book begins with a constructive introduction to grouptheory and algorithms for computing with small groups,followed by a gradual discussion of the basic ideas of Simsfor computing with very large permutation groups, andconcludes with algorithms that use group homomorphisms, asin the computation of Sylowsubgroups. No background ingroup theory is assumed.The emphasis is on the details of the data structures andimplementation which makes the algorithms effective whenapplied to realistic problems. The algorithms are developedhand-in-hand with the theoretical and practicaljustification.All algorithms are clearly described,examples are given, exercises reinforce understanding, anddetailed bibliographical remarks explain the history andcontext of the work.Much of the later material on homomorphisms, Sylowsubgroups, and soluble permutation groups is new.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Group theory background.- List of elements.- Searching small groups.- Cayley graph and defining relations.- Lattice of subgroups.- Orbits and schreier vectors.- Regularity.- Primitivity.- Inductive foundation.- Backtrack search.- Base change.- Schreier-Sims method.- Complexity of the Schreier-Sims method.- Homomorphisms.- Sylow subgroups.- P-groups and soluble groups.- Soluble permutation groups.- Some other algorithms.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Fundamental Algorithms for Permutation Groups (Lecture Notes in Computer Science)
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Paperback. Condizione: Very Good. Condizione sovraccoperta: Jacket not issued. Square Tight Binding.Clean interior, save for small p/o signature to top of front end paper. Very mild edge wear to wraps. A superior edition. Codice articolo 10671
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Fundamental Algorithms for Permutation Groups (Lecture Notes in Computer Science, 559)
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Fundamental Algorithms for Permutation Groups
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Fundamental Algorithms for Permutation Groups
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Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 1991
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Paperback. Condizione: New. 1991 ed. This is the first-ever book on computational group theory. It provides extensive and up-to-date coverage of thefundamental algorithms for permutation groups with referenceto aspects of combinatorial group theory, soluble groups,and p-groups where appropriate. The book begins with a constructive introduction to grouptheory and algorithms for computing with small groups,followed by a gradual discussion of the basic ideas of Simsfor computing with very large permutation groups, andconcludes with algorithms that use group homomorphisms, asin the computation of Sylowsubgroups. No background ingroup theory is assumed. The emphasis is on the details of the data structures andimplementation which makes the algorithms effective whenapplied to realistic problems. The algorithms are developedhand-in-hand with the theoretical and practicaljustification. All algorithms are clearly described,examples are given, exercises reinforce understanding, anddetailed bibliographical remarks explain the history andcontext of the work. Much of the later material on homomorphisms, Sylowsubgroups, and soluble permutation groups is new. Codice articolo LU-9783540549550
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Fundamental Algorithms for Permutation Groups
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Springer Berlin Heidelberg Nov 1991, 1991
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is the first-ever book on computational group theory.It provides extensive and up-to-date coverage of thefundamental algorithms for permutation groups with referenceto aspects of combinatorial group theory, soluble groupsand p-groups where appropriate.The book begins with a constructive introduction to grouptheory and algorithms for computing with small groupsfollowed by a gradual discussion of the basic ideas of Simsfor computing with very large permutation groups, andconcludes with algorithms that use group homomorphisms, asin the computation of Sylowsubgroups. No background ingroup theory is assumed.The emphasis is on the details of the data structures andimplementation which makes the algorithms effective whenapplied to realistic problems. The algorithms are developedhand-in-hand with the theoretical and practicaljustification.All algorithms are clearly describedexamples are given, exercises reinforce understanding, anddetailed bibliographical remarks explain the history andcontext of the work.Much of the later material on homomorphisms, Sylowsubgroups, and soluble permutation groups is new. 256 pp. Englisch. Codice articolo 9783540549550
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Fundamental Algorithms for Permutation Groups
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This is the first-ever book on computational group theory.It provides extensive and up-to-date coverage of thefundamental algorithms for permutation groups with referenceto aspects of combinatorial group theory, soluble groups,and p-groups wher. Codice articolo 4893391
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Fundamental Algorithms for Permutation Groups
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Springer, Springer Nov 1991, 1991
ISBN 10: 3540549552
ISBN 13: 9783540549550
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This is the first-ever book on computational group theory. It covers the fundamental algorithms for permutation groups, with emphasis on the details of data structures and implementation which make the algorithms effective when applied to realistic problems.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 256 pp. Englisch. Codice articolo 9783540549550
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is the first-ever book on computational group theory.It provides extensive and up-to-date coverage of thefundamental algorithms for permutation groups with referenceto aspects of combinatorial group theory, soluble groupsand p-groups where appropriate.The book begins with a constructive introduction to grouptheory and algorithms for computing with small groupsfollowed by a gradual discussion of the basic ideas of Simsfor computing with very large permutation groups, andconcludes with algorithms that use group homomorphisms, asin the computation of Sylowsubgroups. No background ingroup theory is assumed.The emphasis is on the details of the data structures andimplementation which makes the algorithms effective whenapplied to realistic problems. The algorithms are developedhand-in-hand with the theoretical and practicaljustification.All algorithms are clearly describedexamples are given, exercises reinforce understanding, anddetailed bibliographical remarks explain the history andcontext of the work.Much of the later material on homomorphisms, Sylowsubgroups, and soluble permutation groups is new. Codice articolo 9783540549550
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Taschenbuch. Condizione: Neu. Fundamental Algorithms for Permutation Groups | Gregory Butler | Taschenbuch | xii | Englisch | 1991 | Springer | EAN 9783540549550 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Codice articolo 102135779
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Fundamental Algorithms for Permutation Groups: 559 (Lecture Notes in Computer Science, 559)
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Paperback. Condizione: New. 1991st. Codice articolo LU-9783540549550
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