Question: Let G be a path connected topological group. Given two loops alpha and based at e in G . Defined a map F :

Let G be a path connected topological group. Given two loops \alpha and based at e in G. Defined a map F:[0,1] x [0,1]G by F(s,t)=\alpha (s).\beta (t) where . denotes usual multiplication in G. Draw a diagram to visualize the effect of this group on the square. Please provide detail explanation.

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