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.
