Determine the stabilizer
Let G = {(1), (12)(34), (1234)(56), (13)(24), (1432)(56), (56)(13), (14)(23), (24)(56)}.
a. Determine the stabilizer of 1 and the orbit of 1.
b. Determine the stabilizer of 3 and the orbit of 3.
c. Determine the stabilizer of 5 and the orbit of 5.
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Let G = {(1), (12)(34), (1234)(56), (13)(24), (1432)(56), (56)(13), (14)(23), (24)(56)}. Determine the stabilizer of 1 and the orbit of 1.
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