A note on automorphisms of the sphere complex
β Scribed by PANDIT, SUHAS
- Book ID
- 125377832
- Publisher
- Indian Academy of Sciences
- Year
- 2014
- Tongue
- English
- Weight
- 353 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0253-4142
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π SIMILAR VOLUMES
dedicated to professor helmut wielandt on the occasion of his 90th birthday ## 1. INTRODUCTORY REMARKS Let G be a group and denote by PAut G the group of power automorphisms of G (see [4]). An automorphism of G is called an I-automorphism of G if it maps every infinite subgroup of G onto itself. T
Let S be either a sphere with 5 punctures or a torus with 3 punctures. We prove that the automorphism group of the complex of curves of S is isomorphic to the extended mapping class group M \* S . As applications we prove that surfaces of genus 1 are determined by their complexes of curves, and any