TY - JOUR
T1 - The burnside problem for diffs2
AU - HURTADO, SEBASTIÁN
AU - KOCSARD, ALEJANDRO
AU - RODRÍGUEZ-HERTZ, FEDERICO
N1 - Publisher Copyright:
© 2020 Duke University Press. All rights reserved.
PY - 2020
Y1 - 2020
N2 - 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 !.
AB - 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 !.
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U2 - 10.1215/00127094-2020-0028
DO - 10.1215/00127094-2020-0028
M3 - Article
AN - SCOPUS:85096921800
SN - 0012-7094
VL - 169
SP - 3261
EP - 3290
JO - Duke Mathematical Journal
JF - Duke Mathematical Journal
IS - 17
ER -