Research Catalog

Presentations of groups

Title
Presentations of groups / D. L. Johnson.
Author
Johnson, D. L.
Publication
  • Cambridge : Cambridge University Press, [1990]
  • ©1990.

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StatusFormatAccessCall NumberItem Location
TextUse in library QA171 .J59 1990Off-site

Details

Description
[xii], 204 pages : illustrations; 24 cm.
Summary
Having evolved from courses given to advanced undergraduate and first-year graduate students of mathematics, this book is primarily an introduction to combinatorial group theory. The emphasis is algebraic rather than topological and the book also introduces examples of groups and types of groups.
Series Statement
London Mathematical Society student texts ; 15
Uniform Title
London Mathematical Society student texts ; 15.
Subject
  • Group theory
  • Combinatorial group theory
  • Presentations of groups (Mathematics)
  • Group theory
  • Combinatorial group theory
  • Kombinatorische Gruppentheorie
  • Représentations de groupes
Genre/Form
  • Instructional and educational works
  • Instructional and educational works.
  • Matériel d'éducation et de formation.
Bibliography (note)
  • Includes bibliographical references (p. 191-198) and index.
Contents
Free groups -- Schreier's method -- Nielsen's method -- Free presentations of groups -- Some popular groups -- The Heisenberg group -- Finitely-generated Abelian groups -- Finite groups with a few relations -- Coset enumeration -- Presentations of subgroups -- Presentations of group extensions -- Relation modules -- An algorithm for [capital italic]N/[capital italic]N' -- Finite [lowercase italic]p-groups -- The nilpotent quotient algorithm -- The Golod-Shafarevich theorem.
ISBN
  • 0521372038
  • 9780521372039
  • 0521378249
  • 9780521378246
LCCN
90184882
OCLC
  • ocm21744002
  • 21744002
  • SCSB-1958523
Owning Institutions
Princeton University Library