Nilpotent Groups

Robert B. Warfield Jr. (auth.)3540076832, 9783540076834

Table of contents :
Rudiments….Pages 1-5
The upper central series….Pages 6-8
Tensor products and the lower central series….Pages 9-16
Idempotent radicals on the category of nilpotent groups….Pages 17-25
Groups with abelian central quotient….Pages 26-42
The Hall-Petresco formula and residual boundedness….Pages 43-51
Completions and the structure of complete groups….Pages 52-60
Localization….Pages 61-76
Nilpotent actions, Kolchin’s theorem, and engel conditions….Pages 77-82
Nilpotent groups admitting exponents in a ring….Pages 83-95
Unipotent representations and Malcev completions of R-groups….Pages 96-103
The Malcev correspondence….Pages 104-111