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Automorphisms of braid groups on closed surfaces which are not S-2, T-2, P-2 or the Klein bottle

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dc.contributor.author Zhang, Ping
dc.date.accessioned 2016-04-05T11:04:59Z
dc.date.available 2016-04-05T11:04:59Z
dc.date.issued 2006-11
dc.identifier.citation Zhang, P. (2006). Automorphisms of braid groups on closed surfaces which are not S-2, T-2, P-2 or the Klein bottle. Journal of Knot Theoryand Its Ramifications, 15(9), 1231-1244. http://dx.doi.org/10.1142/S0218216506005044 tr_TR
dc.identifier.issn 0218-2165
dc.identifier.uri http://hdl.handle.net/20.500.12416/833
dc.description.abstract Consider a surface braid group of n strings as a subgroup of the isotopy group of homeomorphisms of the surface permuting n fixed distinguished points. Each automorphism of the surface braid group (respectively, of the special surface braid group) is shown to be a conjugate action on the braid group (respectively, on the special braid group) induced by a homeomorphism of the underlying surface if the closed surface, either orientable or non-orientable, is of negative Euler characteristic. In other words, the group of automorphisms of such a surface braid group is isomorphic to the extended mapping class group of the surface with n punctures, while the outer automorphism group of the surface braid group is isomorphic to the extended mapping class group of the closed surface itself tr_TR
dc.language.iso eng tr_TR
dc.publisher World Scientific tr_TR
dc.relation.isversionof 10.1142/S0218216506005044 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Surface Braids tr_TR
dc.subject Automorphism Group Of A Group tr_TR
dc.subject Surface Of Negative Euler Characteristics tr_TR
dc.subject Mapping Class Group tr_TR
dc.title Automorphisms of braid groups on closed surfaces which are not S-2, T-2, P-2 or the Klein bottle tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Knot Theoryand Its Ramifications tr_TR
dc.identifier.volume 15 tr_TR
dc.identifier.issue 9 tr_TR
dc.identifier.startpage 1231 tr_TR
dc.identifier.endpage 1244 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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