The Theory of Nilpotent Groups

  • Anthony E. Clement
  • Stephen Majewicz
  • Marcos Zyman

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 1-21
  3. Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 23-73
  4. Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 75-106
  5. Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 107-153
  6. Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 155-217
  7. Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 219-268
  8. Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 269-299
  9. Back Matter
    Pages 301-307

About this book

Introduction

This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.  While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume.  Details omitted from the original sources, along with additional computations and explanations, have been added to foster a stronger understanding of the theory of nilpotent groups and the techniques commonly used to study them.  Topics discussed include collection processes, normal forms and embeddings, isolators, extraction of roots, P-localization, dimension subgroups and Lie algebras, decision problems, and nilpotent groups of automorphisms.  Requiring only a strong undergraduate or beginning graduate background in algebra, graduate students and researchers in mathematics will find The Theory of Nilpotent Groups to be a valuable resource.

Keywords

Nilpotent Groups Group Theory Abstract Algebra Commutator Calculus Lie Algebra

Authors and affiliations

  • Anthony E. Clement
    • 1
  • Stephen Majewicz
    • 2
  • Marcos Zyman
    • 3
  1. 1.Department of MathematicsCUNY-Brooklyn CollegeBrooklynUSA
  2. 2.Mathematics and Computer ScienceCUNY-Kingsborough Community CollegeBrooklynUSA
  3. 3.Department of MathematicsCUNY-Borough of Manhattan Community CollegeNew YorkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-66213-8
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-66211-4
  • Online ISBN 978-3-319-66213-8
  • About this book