On solvable automorphism groups of compact Riemann surfaces (Q1060321)
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scientific article; zbMATH DE number 3906839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solvable automorphism groups of compact Riemann surfaces |
scientific article; zbMATH DE number 3906839 |
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On solvable automorphism groups of compact Riemann surfaces (English)
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1984
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In this paper a former result of Chetiya is generalized: Let m,k be positive integers, p an odd prime such that \(p<m\) and \((p,m)=1\) and let \(2g=(m-1)pm^{p-2}-2(m^{p-1}-1).\) Then there is a compact Riemann surface of genus \(m^{p-2}((p-2)m-p)k^{2g}+1\) which admits a solvable automorphism group G of order \(2pm^{p-1}k^{2g}\) such that the fourth derived group of G is the identity.
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solvable automorphism group
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