Free shipping on orders over $89 - Limited time only - T&Cs apply
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $89
Computation with Finitely Presented Groups : Encyclopedia of Mathematics and its Applications - Charles C. Sims

Computation with Finitely Presented Groups

By: Charles C. Sims, Sims Charles C.

Paperback | 11 March 2010

At a Glance

Paperback

RRP $137.95

$124.75

10%OFF

or 4 interest-free payments of $31.19 with

 or 

Ships in 5 to 7 business days

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.
Industry Reviews
"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

You Can Find This Book In

Non-FictionMathematicsGroups & Group TheoryCombinatorics & Graph TheoryComputing & I.T.Computer ScienceMathematical Theory of ComputationAlgebra

Other Editions and Formats

Hardcover

Published: 9th May 1994

View Product

More in Groups & Group Theory

Psychology of Everything : The Psychology of Everything - Kelly-Ann Allen

Psychology of Everything

The Psychology of Everything

Paperback

RRP $19.99

$18.75

Assertion and Its Social Context - Keithia Wilson

Assertion and Its Social Context

Hardcover

RRP $210.00

$184.75

12%
OFF
Representation Theory and C*-algebras - Ali Baklouti

Representation Theory and C*-algebras

Hardcover

$410.75

Social Psychology in the Real World - Daragh Bradshaw

Social Psychology in the Real World

Paperback

RRP $94.99

$85.75

10%
OFF
Social Psychology in the Real World - Daragh Bradshaw

Social Psychology in the Real World

Hardcover

RRP $284.00

$246.75

13%
OFF
Fundamentals of Interviewing and Interrogation - Darrel Lambert

Fundamentals of Interviewing and Interrogation

Paperback

RRP $88.99

$77.75

13%
OFF

This product is categorised by