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Questions about the branch of algebra that deals with groups.

2 votes
1 answer
172 views

Proving that a closed walk of some odd length k exists on a Cayley graph

I'm trying to prove the following: Let $G$ be a group with finite symmetric generating set $S$ and let $\Gamma(G,S)$ be the corresponding Cayley graph. Let $X_1, X_2,\cdots$ be a simple random walk s …
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