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Find the group of isometries Iso(S) of the subset S of E^2 given by S={(x,y)E^2 |xy=0}. Describe all elements of this group. Find and describe

Find the group of isometries Iso(S) of the subset S of E^2 given by S={(x,y)E^2 |xy=0}.

Describe all elements of this group.

Find and describe all fixed points of Iso(S).

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