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Answer by Lee Mosher for Informal definition of groups in Nathan Carter's...
I think the problem lies in formalizing the concept of an action.In your example, ask yourself: What are the generators acting on?The answer which resolves your apparent contradiction is: each...
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Informal definition of groups in Nathan Carter's "Visual Group Theory"
ContextIn Visual Group Theory by Nathan Carter, the author introduces groups by considering the set of all actions generated by a given collection of actions, which are called generators. In section...
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