Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

The Theory of Nilpotent Groups

  • Book
  • © 2017

Overview

Authors:
  1. Anthony E. Clement

    1. Department of Mathematics, CUNY-Brooklyn College, Brooklyn, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Stephen Majewicz

    1. Mathematics and Computer Science, CUNY-Kingsborough Community College, Brooklyn, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Marcos Zyman

    1. Department of Mathematics, CUNY-Borough of Manhattan Community College, New York, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Collects both classical and recent results into a single, comprehensive source

  • Provides all necessary proofs in full detail

  • Can be used as a standard reference on the topic by both graduate students and researchers

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvii
    Download chapter PDF

  2. Commutator Calculus

    • Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 1-21

  3. Introduction to Nilpotent Groups

    • Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 23-73

  4. The Collection Process and Basic Commutators

    • Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 75-106

  5. Normal Forms and Embeddings

    • Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 107-153

  6. Isolators, Extraction of Roots, and P-Localization

    • Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 155-217

  7. “The Group Ring of a Class of Infinite Nilpotent Groups” by S. A. Jennings

    • Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 219-268

  8. Additional Topics

    • Anthony E. Clement, Stephen Majewicz, Marcos Zyman
    Pages 269-299

  9. Back Matter

    Pages 301-307
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, CUNY-Brooklyn College, Brooklyn, USA

    Anthony E. Clement

  • Mathematics and Computer Science, CUNY-Kingsborough Community College, Brooklyn, USA

    Stephen Majewicz

  • Department of Mathematics, CUNY-Borough of Manhattan Community College, New York, USA

    Marcos Zyman

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation