Addendum to: Commensurations of the Johnson kernel
| Autor: | Dan Margalit, Tara E. Brendle |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
Johnson kernel
automorphisms Commensurator 20F36 Group Theory (math.GR) Torelli group 01 natural sciences Combinatorics Mathematics::Group Theory Mathematics - Geometric Topology Genus (mathematics) 0103 physical sciences FOS: Mathematics 0101 mathematics QA Mathematics Group (mathematics) abstract commensurator 010102 general mathematics Geometric Topology (math.GT) 16. Peace & justice Automorphism Surface (topology) Mathematics::Geometric Topology Mapping class group Orientation (vector space) Kernel (algebra) 010307 mathematical physics Geometry and Topology Mathematics - Group Theory |
| Zdroj: | Geom. Topol. 12, no. 1 (2008), 97-101 |
| ISSN: | 1465-3060 |
| Popis: | Let K(S) be the subgroup of the extended mapping class group, Mod(S), generated by Dehn twists about separating curves. In our earlier paper, we showed that Comm(K(S)) and Aut(K(S)) are both isomorphic to Mod(S) when S is a closed, connected, orientable surface of genus g at least 4. By modifying our original proof, we show that the same result holds for g at leat 3, thus confirming Farb's conjecture in all cases (the statement is not true for any g less than 3). 4 pages, 2 figures; to appear in Geometry and Topology |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|