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Computation with Finitely Presented Groups
Contributor(s): Sims, Charles C. (Author)

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 ISBN: 0521432138     ISBN-13: 9780521432139
Publisher: Cambridge University Press
OUR PRICE: $171.00  

Binding Type: Hardcover - See All Available Formats & Editions
Published: January 1994
Qty:

Click for more in this series: Publications of the Society for Psychological Anthropology
Additional Information
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Algebra - General
Dewey: 512.2
LCCN: 92032383
Series: Publications of the Society for Psychological Anthropology
Physical Information: 1.31" H x 6.14" W x 9.21" L (2.30 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.
 
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