Finite groups acting on surfaces and the genus of a group
โ Scribed by Thomas W Tucker
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 1015 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study representations of subgroups of the mapping class group M g of a surface of genus g 2 arising from the actions of them on the first cohomology groups of the surface with local coefficient systems which are defined by nontrivial homomorphisms ฯ 1 (ฮฃ g , \* ) โ Z 2 = Aut(Z). As an application
## Abstract This Note announces two results on the genus of a group. First, there is exactly one group of genus two, thus answering a question of V. K. Proulx. Second, the genus of the full symmetric group of degree __n__ is __n__!/168 + 1, for all __n__ > 167.