The identity component of the homeomorphism group of a surface is torsion-free except for four exceptional surfaces, and every finitely generated periodic subgroup of the homeomorphism group is finite for all other surfaces and for the circle.
Scand.10(1962), 111–
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A note on the Burnside problem for homeomorphism groups of manifolds
The identity component of the homeomorphism group of a surface is torsion-free except for four exceptional surfaces, and every finitely generated periodic subgroup of the homeomorphism group is finite for all other surfaces and for the circle.