For even-genus Riemann surfaces the largest purely non-free finite group action has order at least 8g and achieves equality infinitely often; for odd genus the order satisfies 4g ≤ μ(g) < 8g.
Broughton Classifying finite group actions on surfaces of low genus,Journal of Pure and Applied Algebra69(1990) 233-270
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
-
On the biggest purely non-free conformal actions on compact Riemann surfaces and their asymptotic properties
For even-genus Riemann surfaces the largest purely non-free finite group action has order at least 8g and achieves equality infinitely often; for odd genus the order satisfies 4g ≤ μ(g) < 8g.