Atalan, FeriheSzepietowski, BlazejMathematics2024-07-052024-07-05201750046-57551572-916810.1007/s10711-016-0216-72-s2.0-85008449929https://doi.org/10.1007/s10711-016-0216-7https://hdl.handle.net/20.500.14411/2853Szepietowski, Blazej/0000-0002-6219-7895; Atalan, Ferihe/0000-0001-6547-0570Let 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 S-1 and S-2 are two such surfaces of the same complexity. We prove that every isomorphism Mod(S-1) -> Mod(S-2) is induced by a diffeomorphism S-1 -> S-2. 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.eninfo:eu-repo/semantics/openAccessNonorientable surfaceMapping class groupOuter automorphismArticleQ418913957WOS:000404659500003