Generating the mapping class group of a nonorientable surface by crosscap transpositions
Marta Leśniak , Błażej Szepietowski
AbstractA 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 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 crosscap transpositions generating the mapping class group.
|Journal series||Topology and Its Applications, ISSN 0166-8641|
|Publication size in sheets||0.5|
|Keywords in English||mapping class group, nonorientable surface, crosscap transposition|
|Score|| = 20.0, 20-12-2017, ArticleFromJournal|
= 20.0, 20-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 0.377 (2) - 2016=0.464 (5)|
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