EAN: 9783319662114

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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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