Homomorphisms from mapping class groups

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Atıf İçin Kopyala

Harvey W., Korkmaz M.

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, cilt.37, ss.275-284, 2005 (SCI-Expanded)

• 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
• 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.