Nilpotent Groups - R. B. Jr. Warfield
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Rudiments.- The upper central series.- Tensor products and the lower central series.- Idempotent radicals on the category of nilpotent groups.- Groups with abelian central quotient.- The Hall-Petresco formula and residual boundedness.- Completions and the structure of complete groups.- Localization.- Nilpotent actions, Kolchin¿s theorem, and engel conditions.- Nilpotent groups admitting exponents in a ring. ... Full description
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Description
Rudiments.- The upper central series.- Tensor products and the lower central series.- Idempotent radicals on the category of nilpotent groups.- Groups with abelian central quotient.- The Hall-Petresco formula and residual boundedness.- Completions and the structure of complete groups.- Localization.- Nilpotent actions, Kolchin¿s theorem, and engel conditions.- Nilpotent groups admitting exponents in a ring.- Unipotent representations and Malcev completions of R-groups.- The Malcev correspondence.
More Information
| Author | R. B. Jr. Warfield |
|---|---|
| Publisher | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Release year | 1976 |
| Cover type | Softcover |
| EAN | 9783540076834 |