Computation with Finitely Presented Groups (Paperback)

Language: English

Published by Cambridge University Press, Cambridge, 2010

0521135079 / 9780521135078

Series: Book 34 of 188 - Encyclopedia of Mathematics and its Applications

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Paperback. 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 Groebner 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. 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 finite, and describing methods for working with elements, subgroups and quotient groups of a finitely presented group. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

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Title
Computation with Finitely Presented Groups (Paperback)
Author
Charles C. Sims
Publisher
Cambridge University Press, Cambridge
Publication year
2010
Condition
new
Binding
Paperback
Language
English
ISBN 10
0521135079
ISBN 13
9780521135078
Series
Book 34 of 188: Encyclopedia of Mathematics and its Applications

CitiRetail

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