Let us consider a group $G$ acting on a finite plane bipartite graph. Assume that $G$ acts faithfully on the family of finite plane trees. Does this hypothesis suffice to show that $G$ acts faithfully on the family of finite plane bipartite graphs? If yes, this is because we can restrict our attention to spanning trees?
2026-03-25 01:28:50.1774402130
Faithful action on trees ensures that the action is faithfull of plane graphs?
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