有限群在可定向闭曲面上反向自由作用的等价性(英文)

Equivalence of the Orienation-Reversing Free Actions on Closed Orientable Surfaces by Finite Groups

设φ1,φ2∈ORF(G,Tnr+1)对应于满同态1,2∈EP2(π1(Unr+1),G),本文证明了φ1,φ2等价当且仅当1,2等价.

LetФ1,Ф2∈ORF（G,T^nr＋1）be the orienation-reversing （i＇ee actions on closed orientable surihcesT^nr＋1 corresponding to epimorphisms δ1,δ2∈ET2（π1（U^nr＋1）,G）.ThenФ1 is equivalent to Ф2 if and only if Ф1 is equivalent to Ф2,