Verbal width in the Nottingham group and related Lie algebras

Jorge Martinez Carracedo, Consuelo Martinez Lopez

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In [1], B. Klopsch proved that the Nottingham group over a finite field is verballyelliptic. We prove a similar result for fields of zero characteristic. We also provethat the Virasoro Lie algebra and some its subalgebras are polynomially elliptic
Original languageEnglish
Pages (from-to)316-326
Number of pages11
JournalJournal of Algebra
Publication statusPublished (in print/issue) - 4 Feb 2021

Bibliographical note

Funding Information:
Authors are grateful to the referee who provided useful comments.
This work has been partially supported by the Government of Spain through the
project M T M 2017−83506−C2−2−P and by the Principado de Asturias through the project FC−GRUPIN−IDI/2018/000193.

Publisher Copyright:
© 2021 Elsevier Inc.

Copyright 2021 Elsevier B.V., All rights reserved.


  • Group
  • Lower Central Series
  • Graded Lie algebra
  • Nottingham group
  • Virasoro Algebra
  • Witt Algebra
  • Verbal Width
  • Ellipticity


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