The Theory of Nilpotent Groups (eBook)

Anthony E. Clement, Stephen Majewicz, Marcos Zyman (Autoren)

eBook Download: PDF

2017 | 1st ed. 2017
XVII, 307 Seiten
Springer International Publishing (Verlag)
978-3-319-66213-8 (ISBN)

Infos

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.

Inhalt

Commutator Calculus.- Introduction to Nilpotent Groups.- The Collection Process and Basic Commutators.- Normal Forms and Embeddings.- Isolators, Extraction of Roots, and P-Localization.- "The Group Ring of a Class of Infinite Nilpotent Groups" by S. A. Jennings.- Additional Topics.

Produkt-Details

• Erscheint lt. Verlag: 18.11.2017
• Zusatzinfo: XVII, 307 p.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: abstract algebra • Commutator Calculus • group theory • Lie algebra • Nilpotent Groups
• ISBN-10: 3-319-66213-9 / 3319662139
• ISBN-13: 978-3-319-66213-8 / 9783319662138