Tell me more ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.
up vote 3 down vote favorite
2

I am having a hard time understanding what almost convex means. The definition is the following:

A group $G = \langle S\rangle$ is almost convex if there exists a constant $k$ such that every two points in the sphere of radius $n$ at distance at most 2 in the Cayley graph $\Gamma(G,S)$ can be joined by a path of length at most $k$ that stays in the radius ball of lenght $n$.

I am also having a difficult time trying to solve this question: Let $G$ and $H$ be almost convex groups, show that $G \bigoplus H$ and $G * H$ are also almost convex groups.

share|improve this question
So, what do you know about almost convex groups? Do you know the definition? – Gerry Myerson May 7 '12 at 4:31
1  
I Suggest you that you read chapter seven from Geometric group theory, an introduction by Clara Loh – Babgen May 7 '12 at 4:57
I do not understand the definition. – Rhonda May 7 '12 at 6:41
I think the question was not whether you understand the definition (you already said in the question that you don't) but whether you know it. – joriki May 7 '12 at 10:47
1  
@joriki has it right - maybe if you produce the definition someone will be able to help you understand and/or use it. – Gerry Myerson May 7 '12 at 13:00
show 3 more comments

Know someone who can answer? Share a link to this question via email, Google+, Twitter, or Facebook.

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.