Homomorphisms from mapping class groups
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, cilt.37, ss.275-284, 2005 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37
- Basım Tarihi: 2005
- Doi Numarası: 10.1112/s0024609304003911
- Dergi Adı: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.275-284
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
This paper concerns rigidity of the mapping class groups. It is shown that any homomorphism phi: Mod(g) -> Mod(h) between mapping class groups of closed orientable surfaces with distinct genera g > h is trivial if g >= 3, and has finite cyclic image for all g >= 1. Some implications are drawn for more general homomorphs of these groups.