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Nilpotent Groups

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Author(s): Robert B. Warfield Jr. (auth.)
Series: Lecture Notes in Mathematics 513
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1976

Language: English
Pages: 118
Tags: Mathematics, general

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