Article detail · 2005
Homomorphisms From Mapping Class Groups
- Year
- 2005
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Bulletin of the London Mathematical Society
- Catalog match (ISSN) Bulletin of the London Mathematical Society
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
This paper concerns rigidity of the mapping class groups. It is shown that any homomorphism ϕ : Modg → Modh 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. 2000 Mathematics Subject Classification 57N05 (primary), 20E25, 30F10 (secondary).
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
21 citations
OpenAlex cited_by_count (cache / database)
1 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).