Verbal width in the Nottingham group and related Lie algebras

DOI10.1016/J.JALGEBRA.2021.02.003zbMath1472.20063OpenAlexW3127994878WikidataQ115350394 ScholiaQ115350394MaRDI QIDQ1998956

Consuelo Martínez, Jorge Martínez Carracedo

Publication date: 9 March 2021

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

Full work available at URL: https://pure.ulster.ac.uk/ws/files/89504313/Journal_of_Algebra_Nottingham_Group.pdf

zbMATH Keywords

Witt algebraVirasoro algebragraded Lie algebralower central seriesNottingham groupverbal width

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Derived series, central series, and generalizations for groups (20F14) Limits, profinite groups (20E18)

Cites Work

• Products of powers in finite simple groups
• On the verbal width of finitely generated pro-\(p\) groups.
• Normal subgroups in substitution groups of formal power series
• Ellipticity of words
• Automorphisms of the Nottingham group
• Théoremes de finitude en cohomologie galoisienne
• A note on powers in simple groups
• Subgroups of finite index in profinite groups
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