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This document discusses bounds on the size of automorphism groups for Riemann surfaces and algebraic curves. It first presents a standard definition where a group G is considered "large" if its order is greater than 4(g-1), where g is the genus. It then summarizes previous work that classified surfaces with large cyclic, abelian, or Hurwitz groups, and investigated coverings of the projective line from surfaces with large groups. The document goes on to present a theorem providing an upper bound on automorp

Author

Giannis T.

Language

EN