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Timeline for Groups acting on graph

Current License: CC BY-SA 3.0

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Sep 2, 2011 at 4:09 vote accept joseph
Aug 29, 2011 at 11:32 comment added HJRW No. Take A and B to be non-isomorphic finite groups of the same order. Then $A*A$ and $B*B$ will exhibit the same problem.
Aug 29, 2011 at 8:03 comment added joseph @HW: True! To avoid countably branching in $S$ or $\tilde{S}$, we can consider $S$ to be locally finite. Then can we hope for positive answer?
Aug 29, 2011 at 7:21 history answered HJRW CC BY-SA 3.0