Automorphisms of the mapping class group of a nonorientable surface

dc.authorid Szepietowski, Blazej/0000-0002-6219-7895
dc.authorid Atalan, Ferihe/0000-0001-6547-0570
dc.authorscopusid 36132841800
dc.authorscopusid 7801353898
dc.authorwosid Atalan, Ferihe/JRY-6739-2023
dc.contributor.author Atalan, Ferihe
dc.contributor.author Szepietowski, Blazej
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:29:05Z
dc.date.available 2024-07-05T15:29:05Z
dc.date.issued 2017
dc.department Atılım University en_US
dc.department-temp [Atalan, Ferihe] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Szepietowski, Blazej] Univ Gdansk, Inst Math, Fac Math Phys & Informat, PL-80308 Gdansk, Poland en_US
dc.description Szepietowski, Blazej/0000-0002-6219-7895; Atalan, Ferihe/0000-0001-6547-0570 en_US
dc.description.abstract Let 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. en_US
dc.description.sponsorship National Science Centre, Poland [2012/05/B/ST1/02171, 2015/17/B/ST1/03235]; [TUBITAK-110T665] en_US
dc.description.sponsorship Atalan supported by TUBITAK-110T665. Szepietowski supported by Grants 2012/05/B/ST1/02171 and 2015/17/B/ST1/03235 of National Science Centre, Poland. en_US
dc.identifier.citationcount 5
dc.identifier.doi 10.1007/s10711-016-0216-7
dc.identifier.endpage 57 en_US
dc.identifier.issn 0046-5755
dc.identifier.issn 1572-9168
dc.identifier.issue 1 en_US
dc.identifier.scopus 2-s2.0-85008449929
dc.identifier.startpage 39 en_US
dc.identifier.uri https://doi.org/10.1007/s10711-016-0216-7
dc.identifier.uri https://hdl.handle.net/20.500.14411/2853
dc.identifier.volume 189 en_US
dc.identifier.wos WOS:000404659500003
dc.identifier.wosquality Q4
dc.institutionauthor Atalan, Ferihe
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 5
dc.subject Nonorientable surface en_US
dc.subject Mapping class group en_US
dc.subject Outer automorphism en_US
dc.title Automorphisms of the mapping class group of a nonorientable surface en_US
dc.type Article en_US
dc.wos.citedbyCount 5
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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