P-Localizing Group Extensions with a Nilpotent Action on the Kernel

DOI10.1080/00927870600936609zbMath1116.20032OpenAlexW2135131894MaRDI QIDQ3422859

Karl Lorensen

Publication date: 14 February 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870600936609

zbMATH Keywords

exact sequencesgroup extensionslocalizationsnilpotent actions

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22)

Uses Software

• GAP

Cites Work

• Unnamed Item
• Preserving asphericity of virtually nilpotent spaces under \(P\)-localization
• Some aspects of groups with unique roots
• Localization and cohomology of nilpotent groups
• Almost-Bieberbach groups: affine and polynomial structures
• Localizing with Respect to Self-Maps of the Circle
• The Behaviour of Homology in the Localization of Finite Groups
• Localization and Genus in Group Theory
• Localization methods in the study of the homology of virtually nilpotent groups
• Endliche Gruppen I
• $P$-localizing group extensions with a finite kernel
• \(P\)-localization of relative groups