An analogue of the Levi decomposition of the automorphism groups of certain nilpotent pro-\(\ell\) groups

DOI10.1016/0021-8693(90)90259-QzbMath0705.20035MaRDI QIDQ917699

Mamoru Asada

Publication date: 1990

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

zbMATH Keywords

descending central seriesgenerating setLevi subgroupbi-continuous automorphismsfinitely generated nilpotent pro-\(\ell \) grouplinear \(\ell \)-adic Lie group

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Derived series, central series, and generalizations for groups (20F14) General properties and structure of other Lie groups (22E20) Limits, profinite groups (20E18)

Related Items

Indistinguishability of conjugacy classes of the pro-l mapping class group

Cites Work

• On Galois representations arising from towers of coverings of \(\mathbb P^1\backslash \{0,1,\infty \}\)
• Profinite braid groups, Galois representations and complex multiplications
• On conjugacy classes of the pro-\(\ell\) braid group of degree 2
• \(p\)-adic analytic groups
• Sur les groupes nilpotents et les anneaux de Lie
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