Abstract
Let G be a finite group. The strong symmetric genus σ0(G) is the minimum genus of any Riemann surface on which G acts, preserving orientation. For any non-negative integer g, there is at least one group of strong symmetric genus g. For g≠2, one such group has the form Zk × Dn for some k and n. 2000 Mathematics Subject Classification 57M60 (primary), 20H10, 30F99 (secondary).
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