Overview
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
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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.
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: The Theory of Nilpotent Groups
Authors: Anthony E. Clement, Stephen Majewicz, Marcos Zyman
DOI: https://doi.org/10.1007/978-3-319-66213-8
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-66211-4Published: 28 November 2017
Softcover ISBN: 978-3-319-88196-6Published: 01 September 2018
eBook ISBN: 978-3-319-66213-8Published: 18 November 2017
Edition Number: 1
Number of Pages: XVII, 307
Topics: Group Theory and Generalizations, Associative Rings and Algebras, Topological Groups, Lie Groups