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9780521432139: Computation with Finitely Presented Groups

Synopsis

This book describes the basic algorithmic ideas behind accepted methods for computing with finitely presented groups.

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Présentation de l'éditeur

Research in computational group theory, an active subfield of computational algebra, has emphasised three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. The author emphasises the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito and Miller on computing nonabelian polycyclic quotients is described as a generalisation of Buchberger's Gröbner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups and theoretical computer scientists will find this book useful.

Revue de presse

"this book is a very interesting treatment of the computational aspects of combinatorial group theory. It is well-written, nicely illustrating the algorithms presented with many examples. Also, some remarks on the history of the field are included. In adition, many exercises are provided throughout...this is a very valuable book that is well-suited as a textbook for a graduate course on computational group theory. It addresses students of mahtematics and of computer science alike, providing the necessary background for both. In addition, this book will be of good use as a reference source for computational aspects of combinatorial group theory." Friedrich Otto, Mathematical Reviews

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9780521135078: Computation with Finitely Presented Groups

Edition présentée

ISBN 10 :  0521135079 ISBN 13 :  9780521135078
Editeur : Cambridge University Press, 2010
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Sims, C. C.
Edité par Cambridge University Press, 1994
ISBN 10 : 0521432138 ISBN 13 : 9780521432139
Ancien ou d'occasion Couverture rigide

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Etat : Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1050grams, ISBN:0521432138. N° de réf. du vendeur 9909167

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Sims, Charles C.
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ISBN 10 : 0521432138 ISBN 13 : 9780521432139
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Charles C. Sims
Edité par Cambridge University Press, 1994
ISBN 10 : 0521432138 ISBN 13 : 9780521432139
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Sims, Charles C.
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ISBN 10 : 0521432138 ISBN 13 : 9780521432139
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Sims, Charles C.
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Edité par Cambridge Univ Pr, 1994
ISBN 10 : 0521432138 ISBN 13 : 9780521432139
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Hardcover. Etat : Brand New. 604 pages. 9.75x6.50x1.50 inches. In Stock. This item is printed on demand. N° de réf. du vendeur __0521432138

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Sims, Charles C.
Edité par Cambridge University Press, 2008
ISBN 10 : 0521432138 ISBN 13 : 9780521432139
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. It is a comprehensive text presenting the fundamental algorithmic ideas which have been developed to compute with finitely presented groups, discussing techniques for computing with finitely presented groups which are infinite, or at least not obviously fin. N° de réf. du vendeur 446935335

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Charles C. Sims
ISBN 10 : 0521432138 ISBN 13 : 9780521432139
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Hardcover. Etat : new. Hardcover. Research in computational group theory, an active subfield of computational algebra, has emphasized three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. It is the first text to present the fundamental algorithmic ideas which have been developed to compute with finitely presented groups, discussing techniques for computing with finitely presented groups which are infinite, or at least not obviously finite, and describing methods for working with elements, subgroups, and quotient groups of a finitely presented group. The author emphasizes the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito, and Miller on computing nonabelian polycyclic quotients is described as a generalization of Buchberger's Grobner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups, and theoretical computer scientists will find this book useful. The book describes methods for working with elements, subgroups, and quotient groups of a finitely presented group. The author emphasizes the connection with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, from computational number theory, and from computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms are used to study the Abelian quotients of a finitely presented group. The work of Baumslag, Cannonito, and Miller on computing non-Abelian polycyclic quotients is described as a generalization of Buchberger's Grobner basis methods to right ideals in the integral group ring of a polycyclic group. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780521432139

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Charles C. Sims
ISBN 10 : 0521432138 ISBN 13 : 9780521432139
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Hardcover. Etat : new. Hardcover. Research in computational group theory, an active subfield of computational algebra, has emphasized three areas: finite permutation groups, finite solvable groups, and finitely presented groups. This book deals with the third of these areas. It is the first text to present the fundamental algorithmic ideas which have been developed to compute with finitely presented groups, discussing techniques for computing with finitely presented groups which are infinite, or at least not obviously finite, and describing methods for working with elements, subgroups, and quotient groups of a finitely presented group. The author emphasizes the connections with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, computational number theory, and computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms from computational number theory are used to study the abelian quotients of a finitely presented group. The work of Baumslag, Cannonito, and Miller on computing nonabelian polycyclic quotients is described as a generalization of Buchberger's Grobner basis methods to right ideals in the integral group ring of a polycyclic group. Researchers in computational group theory, mathematicians interested in finitely presented groups, and theoretical computer scientists will find this book useful. The book describes methods for working with elements, subgroups, and quotient groups of a finitely presented group. The author emphasizes the connection with fundamental algorithms from theoretical computer science, particularly the theory of automata and formal languages, from computational number theory, and from computational commutative algebra. The LLL lattice reduction algorithm and various algorithms for Hermite and Smith normal forms are used to study the Abelian quotients of a finitely presented group. The work of Baumslag, Cannonito, and Miller on computing non-Abelian polycyclic quotients is described as a generalization of Buchberger's Grobner basis methods to right ideals in the integral group ring of a polycyclic group. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521432139

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Charles C. Sims
Edité par Cambridge University Press, 1994
ISBN 10 : 0521432138 ISBN 13 : 9780521432139
Neuf Couverture rigide

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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book describes the basic algorithmic ideas behind accepted methods for computing with finitely presented groups. N° de réf. du vendeur 9780521432139

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