On a theorem of supersoluble automorphism groups
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- by Reza Zomorrodian PDF
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Abstract:
The maximal nilpotent and supersoluble automorphism groups of Riemann surfaces were given in earlier papers by this author. In this note the author wishes to correct the necessity of the condition given in Theorem (4.3) of Bounds for the order of supersoluble automorphism groups of Riemann surfaces (Proc. Amer. Math. Soc. 108 (1990), 587–600), which was left out at the time of writing the paper. The author also wishes to apologize to the readers for that.References
- Reza Zomorrodian, Nilpotent automorphism groups of Riemann surfaces, Trans. Amer. Math. Soc. 288 (1985), no. 1, 241–255. MR 773059, DOI 10.1090/S0002-9947-1985-0773059-6
- Reza Zomorrodian, Bounds for the order of supersoluble automorphism groups of Riemann surfaces, Proc. Amer. Math. Soc. 108 (1990), no. 3, 587–600. MR 994795, DOI 10.1090/S0002-9939-1990-0994795-X
- C. Maclachlan and G. Gromadzki, Supersoluble groups of automorphisms of compact Riemann surfaces, Glasgow Math. J. 31 (1989), 321–327.
Additional Information
- Reza Zomorrodian
- Affiliation: Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
- Received by editor(s): March 15, 2002
- Received by editor(s) in revised form: April 14, 2002
- Published electronically: December 30, 2002
- Communicated by: Stephen D. Smith
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2711-2713
- MSC (2000): Primary 20H10; Secondary 20D15, 20D45
- DOI: https://doi.org/10.1090/S0002-9939-02-06935-6
- MathSciNet review: 1974326