document.write( "Question 865859: Give an example of a group of size four, acting on a set of size four. And describe its orbits and stabilizers.
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Algebra.Com's Answer #522316 by richard1234(7193) $\"\"$ $\"About$

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For example, let

(that is, the elements of G are 1, x, x^2, x^3 with x^4 = 1), and suppose G acts on

. Then, for

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\n" ); document.write( "\n" ); document.write( "It follows that for all

and

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\n" ); document.write( "\n" ); document.write( "This satisfies the orbit-stabilizer theorem

for

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