A group is periodic of bounded exponent if there exists such that every element of has order at most . We show that every finitely generated periodic group of bounded exponent is finite, where denotes the group of diffeomorphisms of that preserve an area form .
"The Burnside problem for ." Duke Math. J. 169 (17) 3261 - 3290, 15 November 2020. https://doi.org/10.1215/00127094-2020-0028