Permutation group algorithms

Permutation group algorithms

by Seress, Ákos

Type Book
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"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 course…

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Title Statements

  • Full title :Permutation group algorithms / Ákos Seress.

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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Edition Statements

  • Publication Date:2003.

Publication Statements

The Physical Object

  • Description:1 online resource (ix, 264 pages)

Edition Identifiers

  • ISBN:052166103X, 9780521661034, 0511066473, 9780511066474
  • oclc:ocm70746506
  • LC Classification:QA175
  • Dewey Decimal:512/.2

Table of 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.

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