The burnside problem for diffs2

SEBASTIÁN HURTADO, ALEJANDRO KOCSARD, FEDERICO RODRÍGUEZ-HERTZ

Research output: Contribution to journalArticlepeer-review

Abstract

A group G is periodic of bounded exponent if there exists k ∈ N such that every element of G has order at most k. We show that every finitely generated periodic group of bounded exponent G < DiffwS2/ is finite, where DiffwS2/ denotes the group of diffeomorphisms of S2 that preserve an area form !.

Original languageEnglish (US)
Pages (from-to)3261-3290
Number of pages30
JournalDuke Mathematical Journal
Volume169
Issue number17
DOIs
StatePublished - 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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