Can the Fundamental Group of a Genus 2 Surface Embed That of a Genus 1 Surface?

TopoGeoStuden
Messages
1
Reaction score
0
Can someone please explain this to me.

Let X = fundamental group of a genus 2 surface
Let Y = fundamental group of a genus 1 surface

Can X embed Y?

Ty
 
Physics news on Phys.org
Well, have you computed what X and Y are?
 

Similar threads

What is the Genus of Riemann Surface?
Replies
2
Views
4K
Is Horn-torus a valid genus-1 Riemann Surface?
Replies
2
Views
4K
[Help] Genus: Having difficulty to fully understand it.
Replies
3
Views
3K
A Differential structure of the group of automorphism of a Lie group
Replies
0
Views
2K
Genus-g Surface and Retraction to Circle
Replies
21
Views
8K
Determining Homology Groups of S^2 with a Morse Function
Replies
12
Views
4K
Generating Set for Mapping-Class Group of Genus-g Surface.
Replies
1
Views
3K
I 3-parameter group of symmetries on the plane
2
Replies
51
Views
5K
Hyperbolic Manifold With Geodesic Boundary?
Replies
5
Views
2K
I Closed implies exact (differential 1-forms on R^2)
Replies
6
Views
3K

Hot Threads

Recent Insights

Back
Top