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Computation with Finitely Presented Groups
Contributor(s): Sims, Charles C. (Author)
ISBN: 0521135079     ISBN-13: 9780521135078
Publisher: Cambridge University Press
OUR PRICE:   $81.69  
Product Type: Paperback - Other Formats
Published: March 2010
Qty:
Additional Information
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Algebra - General
Dewey: 512.2
Series: Encyclopedia of Mathematics and Its Applications
Physical Information: 1.26" H x 6.14" W x 9.21" (1.90 lbs) 624 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
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 Gr bner basis methods to right ideals in the integral group ring of a polycyclic group.