Geodesic
On Soluble Groups of Automorphism of Riemann Surfaces
Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 67-73

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DOI

Let G be a soluble group of derived length 3. We show in this paper that if G acts as an automorphism group on a compact Riemann surface of genus g ≠ 3,5,6,10 then it has at most 24(g — 1) elements. Moreover, given a positive integer n we show the existence of a Riemann surface of genus g = n 4 + 1 that admits such a group of automorphisms of order 24(g — 1), whilst a surface of specified genus can admit such a group of automorphisms of order 48(g — 1), 40(g — 1), 30(g — 1) and 36(g — 1) respectively.
DOI : 10.4153/CMB-1991-011-x
Mots-clés : 30F99, 20H10, 20D45 
Gromadzki, Grzegorz. On Soluble Groups of Automorphism of Riemann Surfaces. Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 67-73. doi: 10.4153/CMB-1991-011-x
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