OFFSET
2,1
COMMENTS
By Hurwitz's automorphisms theorem, a(n) <= 84*(n-1). The values n such that a(n) = 84*(n-1) are listed in A179982.
Breuer's book erroneously gives a(33) = 768. (See errata.) - Eric M. Schmidt, Jul 29 2021
REFERENCES
Thomas Breuer, Characters and automorphism groups of compact Riemann surfaces, Cambridge University Press, 2000.
LINKS
Thomas Breuer, Errata et addenda for Characters and automorphism groups of Compact Riemann surfaces.
Marston Conder, Two lists of the largest orders of a group of automorphisms of a compact Riemann surface of given genus g, for g between 2 and 301.
Jen Paulhus, Branching data for curves up to genus 48.
Wikipedia, Hurwitz Group
Wikipedia, Hurwitz's automorphisms theorem
EXAMPLE
The Bolza surface is a compact Riemann surface of genus 2 whose automorphism group is of the highest possible order (order 48, isomorphic to GL(2,3)), so a(2) = 48.
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Jianing Song, Jul 13 2021
EXTENSIONS
a(12)-a(48) from Eric M. Schmidt, Jul 29 2021
STATUS
approved