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Computation with finitely presented groups (notice n° 4324)

000 -LEADER
fixed length control field 02280cam a2200349' 4500
001 - CONTROL NUMBER
control field UNI0000333
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20161122161619.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 140918r2010 uk 001 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number GBA9C2847
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780521135078 (pbk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0521135079 (pbk.)
040 ## - CATALOGING SOURCE
Modifying agency IMIST
Description conventions rda
040 ## - CATALOGING SOURCE
Original cataloging agency UKM
Description conventions rda
041 1# - LANGUAGE CODE
Language code of text/sound track or separate title eng
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA171
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.2
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Sims, Charles C.
245 #0 - TITLE STATEMENT
Title Computation with finitely presented groups
Statement of responsibility, etc Charles C. Sims.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Cambridge
Name of publisher, distributor, etc Cambridge University Press
Date of publication, distribution, etc 2010.
300 ## - PHYSICAL DESCRIPTION
Extent 604 pages
Dimensions 25 cm.
490 0# - SERIES STATEMENT
Series statement Encyclopedia of mathematics and its applications
Volume number/sequential designation v. 48
500 ## - GENERAL NOTE
General note Research in computational group theory, an active subfield of computational algebra, has emphasized four areas: finite permutation groups, finite solvable groups, matrix representations of finite groups, and finitely presented groups. This book deals with the last of these areas. It is the first text to present the fundamental algorithmic ideas which have been developed to compute with finitely presented groups that are infinite, or at least not obviously finite.
500 ## - GENERAL NOTE
General note 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.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Basic concepts -- 2. Rewriting systems -- 3. Automata and rational languages -- 4. Subgroups of free products of cyclic groups -- 5. Coset enumeration -- 6. The Reidemeister-Schreier procedure -- 7. Generalized automata -- 8. Abelian groups -- 9. Polycyclic groups -- 10. Module bases -- 11. Quotient groups -- Appendix: Implementation issues.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Group theory
General subdivision Data processing.
-- Data processing.
-- Data processing.
-- Data processing.
-- Data processing.
-- Data processing.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Finite groups
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorial group theory
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorial group theory
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Finite groups
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Group theory
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