Involution Generators Of The Big Mapping Class Group
No Thumbnail Available
Files
Date
2024-06-09
Journal Title
Journal ISSN
Volume Title
Publisher
Başkent Üniversitesi Mühendislik Fakültesi
Abstract
Let S = S(n) denote the infinite-type surface with n ends, n is an element of N, accumulated by genus. For n >= 6, we show that the mapping class group of S is topologically generated by five involutions. When n >= 3, it is topologically generated by six involutions.
Description
Keywords
Big mapping class groups, infinite surfaces, involutions, generating sets
Citation
JOURNAL OF TOPOLOGY AND ANALYSIS, cilt 18, 2024, sayı 1, ss. 1-18