On the exponent of the automorphism group of a compact Riemann surface

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Let X be a compact Riemann surface of genus g >= 2, and let Aut(X) be its group of automorphisms. We show that the exponent of Aut(X) is bounded by 42(g-1). We also determine explicitly the infinitely many values of g for which this bound is reached and the corresponding groups. Finally, we discuss related questions for subgroups G of Aut(X) that are subject to additional conditions, for example being solvable
Publisher
SPRINGER BASEL AG
Issue Date
2016-10
Language
English
Article Type
Article
Keywords

FINITE-GROUPS; SYLOW 2-SUBGROUPS

Citation

ARCHIV DER MATHEMATIK, v.107, no.4, pp.329 - 340

ISSN
0003-889X
DOI
10.1007/s00013-016-0933-z
URI
http://hdl.handle.net/10203/214641
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