Restricted Lie algebras of polycyclic groups, II

2012/06/24 by A. I. Lichtman, Lichtman, A. I.
Mathematics · #20Axx #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20Axx

paper · pdf · doi:10.48550/arxiv.1206.5534

m700

openalex publication_date 2012/06/24 · arxiv created 2012/07/06 · arxiv updated 2012/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is the second paper in the series of three. We study restricted Lie algebras of polycyclic groups and obtain conditions for existence of p-series with associated restricted Lie algebra abelian or free abelian with rank equal to the Hirsch number of the group. We develop methods for constructing such series, these methods are based on construction of filtrations and valuation functions in the group rings.

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