On some \(\Lambda\)-analytic pro-\(p\) groups
type: Item
instance of: scholarly article
title: On some \(\Lambda\)-analytic pro-\(p\) groups
zbMATH Open document ID: 0819.20030
DOI: 10.1007/BF02758646
author: Alexander Lubotzky
author: Aner Shalev
published in: Israel Journal of Mathematics
publication date: 1994-10-18T00:00:00Z
review text: Let \(\Lambda\) be a complete commutative Noetherian local ring whose residual field is finite. A notion of \(\Lambda\)-standard group over \(\Lambda\) is defined and a Lie algebra \(L_ 0\) is associated with it. \(G\) is called \(\Lambda\)-perfect if \(L_ 0 = L_ 0'\), and two growth functions for \(G\) are studied, an analog of the Golod-Shafarevich inequality is proved. Two problems of N. Boston are settled.
Mathematics Subject Classification ID: 20E18
Mathematics Subject Classification ID: 20F40
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 554006
zbMATH Keywords: standard groups over complete commutative Noetherian local rings
zbMATH Keywords: Lie algebras
zbMATH Keywords: growth functions
zbMATH Keywords: Golod-Shafarevich inequality
reviewed by: Yurii V. Mukhin
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02758646
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description: scientific article; zbMATH DE number 554006