A bound for the number of automorphisms of a compact Klein surface with boundary

May, Coy L.

doi:10.1090/S0002-9939-1977-0435385-0

A bound for the number of automorphisms of a compact Klein surface with boundary
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Proc. Amer. Math. Soc. 63 (1977), 273-280 Request permission

Abstract:

For an integer $g \geqslant 2$, let $\nu (g)$ be the order of the largest group of automorphisms of a compact Klein surface with nonempty boundary of genus g. We show that $\nu (g) \geqslant 4(g + 1)$ for all g and that for an infinite number of values of $\nu (g) = 4(g + 1)$.

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Cyclic automorphism groups of compact Klein surfaces with boundary

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