R. B. Warfield

Nilpotent Groups

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 513
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-07683-4
• 1976.
• Seitenzahl: 124
• Erscheinungstermin: 1. April 1976
• Englisch
• Abmessung: 235mm x 155mm x 8mm
• Gewicht: 224g
• ISBN-13: 9783540076834
• ISBN-10: 3540076832
• Artikelnr.: 23523660

Inhaltsangabe

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.