The upper central series of some matrix groups

DOI10.4064/FM-135-2-111-126zbMATH Open0752.20024OpenAlexW303692070MaRDI QIDQ3970241

B. A. F. Wehrfritz

Publication date: 25 June 1992

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211801

zbMATH Keywords

universal enveloping algebrasdivision ringsEngel elementsupper central seriesgroup of matricesHirsch-Plotkin radicalfree soluble groupscentral heightdivision rings of quotients of group algebras

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Infinite-dimensional and general division rings (16K40) Other matrix groups over rings (20H25) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Derived series, central series, and generalizations for groups (20F14) Engel conditions (20F45)

Related Items (8)

Relationships between the factors of the upper and the lower central series of a group ⋮ Title not available (Why is that?) ⋮ On some properties of the upper and lower central series ⋮ On the relationships between the factors of the upper and lower central series in some non-periodic groups ⋮ The central heights of stability groups of series in vector spaces ⋮ Some nilpotent and locally nilpotent matrix groups ⋮ Upper central series for elementary-abelian-over-cyclic regular wreath product p-groups ⋮ On matrix rings and linear groups over fields of fractions of group rings and enveloping algebras. II

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