Verbal width in the Nottingham group and related Lie algebras

Jorge Martinez Carracedo, Consuelo Martinez Lopez

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume574
DOIs
Publication statusPublished - 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 MTM2017?83506?C2?2?P and by the Principado de Asturias through the project FC?GRUPIN?IDI/2018/000193.

Funding Information:
This work has been partially supported by the Government of Spain through the project and by the Principado de Asturias through the project .

Publisher Copyright:
© 2021 Elsevier Inc.

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

Keywords

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

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