xenonforlife
New member
- Joined
- Jan 18, 2012
- Messages
- 24
I am looking for an example of a finite abelian group (G) where the
Ʃa ǂ 0 where a ϵ G
Can someone help me with this one?
Ʃa ǂ 0 where a ϵ G
Can someone help me with this one?
I just cant imagine group theory scenarios, have been trying hard to think about the Z/2Z situation but cant understand why the summation under addition of all elements should not be the neutral element, the reason being the inverse of the element will also be present in the group right? so each element can be added to its inverse to give us the neutral element and in the end the summation of all the neutral element should give us the neutral element back...isn't it?
I am not getting much confidence in group theory, could you suggest how I can get better in it?
Let G be a finite abelian group. If g ∈ G we write 2g for the element
g + g. Show that
2 Ʃa = 0 a ϵ G.
I am sorry I dont know how to use mathematical notations like the way you guys have mentioned in your replies. Please let me know how to do that too.
I can't thank you enough, its absolutely clear to me now. Thanks for the help, hope I can do the same for someone else