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The Resource Computation with finitely presented groups, Charles C. Sims

Computation with finitely presented groups, Charles C. Sims

Label
Computation with finitely presented groups
Title
Computation with finitely presented groups
Statement of responsibility
Charles C. Sims
Creator
Subject
Language
eng
Summary
  • 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
  • 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 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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Sims, Charles C
Dewey number
512/.2
Illustrations
illustrations
Index
index present
LC call number
QA171
LC item number
.S6173 1994
Literary form
non fiction
Nature of contents
bibliography
Series statement
Encyclopedia of mathematics and its applications
Series volume
v. 48
http://library.link/vocab/subjectName
  • Group theory
  • Finite groups
  • Combinatorial group theory
Label
Computation with finitely presented groups, Charles C. Sims
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages [581]-595) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Control code
26672381
Dimensions
25 cm
Extent
xiii, 604 pages
Isbn
9780521432139
Lccn
92032383
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(WaOLN)1569173
Label
Computation with finitely presented groups, Charles C. Sims
Publication
Bibliography note
Includes bibliographical references (pages [581]-595) and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Control code
26672381
Dimensions
25 cm
Extent
xiii, 604 pages
Isbn
9780521432139
Lccn
92032383
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
illustrations
System control number
(WaOLN)1569173

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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