The upper central series of some matrix groups
DOI10.4064/FM-135-2-111-126zbMATH Open0752.20024OpenAlexW303692070MaRDI QIDQ3970241
Publication date: 25 June 1992
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/211801
universal enveloping algebrasdivision ringsEngel elementsupper central seriesgroup of matricesHirsch-Plotkin radicalfree soluble groupscentral heightdivision rings of quotients of group algebras
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)
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