کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5777805 1633050 2017 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generating the mapping class group of a nonorientable surface by crosscap transpositions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Generating the mapping class group of a nonorientable surface by crosscap transpositions
چکیده انگلیسی
A crosscap transposition is an element of the mapping class group of a nonorientable surface represented by a homeomorphism supported on a one-holed Klein bottle and swapping two crosscaps. We prove that the mapping class group of a compact nonorientable surface of genus g≥7 is generated by conjugates of one crosscap transposition. In the case when the surface is either closed or has one boundary component, we give an explicit set of g+2 crosscap transpositions generating the mapping class group.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 229, 15 September 2017, Pages 20-26
نویسندگان
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