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Permutation group algorithms / Ákos Seress.

By: Material type: TextTextSeries: Cambridge tracts in mathematics ; 152.Publication details: New York : Cambridge University Press, 2003.Description: 1 online resource (ix, 264 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 052166103X
  • 9780521661034
  • 0511066473
  • 9780511066474
Subject(s): Genre/Form: Additional physical formats: Print version:: Permutation group algorithms.DDC classification:
  • 512/.2 21
LOC classification:
  • QA175 .S47 2003eb
Online resources:
Contents:
Introduction -- Black-box groups -- Permutation groups: a complexity overview -- Bases and strong generating sets -- Further low-level algorithms -- A library of nearly linear-time algorithms -- Solvable permutation groups -- Strong generating tests -- Backtrack methods -- Large-base groups.
Summary: "The central theme is the description of nearly linear-time algorithms, which are extremely fast in terms of both asymptotic analysis and practical running time. A significant part of the permutation group library of the computational group algebra system GAP is based on nearly linear-time algorithms." "The book fills a significant gap in the symbolic computation literature. It is recommended for everyone interested in using computers in group theory and is suitable for advanced graduate courses."--Jacket.
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Electronic-Books Electronic-Books OPJGU Sonepat- Campus E-Books EBSCO Available

Includes bibliographical references (pages 254-261) and index.

Introduction -- Black-box groups -- Permutation groups: a complexity overview -- Bases and strong generating sets -- Further low-level algorithms -- A library of nearly linear-time algorithms -- Solvable permutation groups -- Strong generating tests -- Backtrack methods -- Large-base groups.

Print version record.

"The central theme is the description of nearly linear-time algorithms, which are extremely fast in terms of both asymptotic analysis and practical running time. A significant part of the permutation group library of the computational group algebra system GAP is based on nearly linear-time algorithms." "The book fills a significant gap in the symbolic computation literature. It is recommended for everyone interested in using computers in group theory and is suitable for advanced graduate courses."--Jacket.

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