Automorphisms of the mapping class group of a nonorientable surface
Ferihe Atalan , Błażej Szepietowski
AbstractLet S be a nonorientable surface of genus g≥5 with n≥0 punctures, and Mod(S) its mapping class group. We define the complexity of S to be the maximum rank of a free abelian subgroup of Mod(S). Suppose that S1 and S2 are two such surfaces of the same complexity. We prove that every isomorphism Mod(S1)→Mod(S2) is induced by a diffeomorphism S1→S2. This is an analogue of Ivanov’s theorem on automorphisms of the mapping class groups of an orientable surface, and also an extension and improvement of the first author’s previous result.
|Other language title versions|
|Journal series||Geometriae Dedicata, ISSN 0046-5755, (A 20 pkt)|
|Publication size in sheets||0.90|
|Keywords in English||nonorientable surface, mapping class group, outer automorphism|
|License||Other; published final; ; with publication|
|Score||= 20.0, 21-07-2020, ArticleFromJournal|
|Publication indicators||= 2.000; : 2017 = 1.076; : 2017 = 0.612 (2) - 2017=0.644 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.