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

DOI10.3792/PJAA.64.256zbMath0705.20037OpenAlexW1994689287MaRDI QIDQ917702

Mamoru Asada

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.256

zbMATH Keywords

Lie algebracompact Riemann surfaceconjugacy classouter automorphism grouptopological fundamental grouppro-\(\ell \) completionfree pro-\(\ell \) groupnilpotent pro-\(\ell \) grouppro-\(\ell \) mapping class group

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Automorphism groups of groups (20F28) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Derived series, central series, and generalizations for groups (20F14) Limits, profinite groups (20E18) Associated Lie structures for groups (20F40)

Cites Work

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• An analogue of the Levi decomposition of the automorphism groups of certain nilpotent pro-\(\ell\) groups
• Profinite braid groups, Galois representations and complex multiplications
• On conjugacy classes of the pro-\(\ell\) braid group of degree 2

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