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Results tagged with cayley-graphs
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user 484048
Questions concerning Cayley graphs, regardless of whether the group be finite, infinite, abelian, non-abelian. Strong connections to geometric group theory.
5
votes
Chain of automorphism groups
The question is not well-defined, you need to pick a generating set for each group. (Sometimes, there are only infinite generating sets.) I'll interpret the second question as
"For which groups $G_0$ …
- 1,819
27
votes
Accepted
Necessary and sufficient conditions for the Cayley graph to be bipartite
The Cayley graph is bipartite if and only if there exists a homomorphism $\pi\colon G\to\mathbb Z/2\mathbb Z=\{0,1\}$ such that $\pi(S) \subseteq \{1\}$.
If such a map exists, then the sets $\pi^{-1}( …
- 1,819