For a fixed square, let L1 be the perpendicular bisector
Chapter 29, Problem 15E(choose chapter or problem)
For a fixed square, let \(L_{1}\) be the perpendicular bisector of the top and bottom of the square and let \(L_{2}\) be the perpendicular bisector of the left and right sides. Show that \(D_{4}\) acts on \(\left\{L_{1}, L_{2}\right\}\) and determine the kernel of the mapping \(g \rightarrow \gamma_{g}\).
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