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It appears to be standard that the set of non-identity involutions in $SL(2, 2^n) = PSL(2, 2^n)$ forms a single conjugacy class. What is the best reference for this?

I note that http://math.stackexchange.com/questions/208255/conjugacy-classes-of-elements-of-a-prime-order-in-psl-2qhttps://math.stackexchange.com/questions/208255/conjugacy-classes-of-elements-of-a-prime-order-in-psl-2q asked a related question and seems to contain a proof, but is there a published proof?

It appears to be standard that the set of non-identity involutions in $SL(2, 2^n) = PSL(2, 2^n)$ forms a single conjugacy class. What is the best reference for this?

I note that http://math.stackexchange.com/questions/208255/conjugacy-classes-of-elements-of-a-prime-order-in-psl-2q asked a related question and seems to contain a proof, but is there a published proof?

It appears to be standard that the set of non-identity involutions in $SL(2, 2^n) = PSL(2, 2^n)$ forms a single conjugacy class. What is the best reference for this?

I note that https://math.stackexchange.com/questions/208255/conjugacy-classes-of-elements-of-a-prime-order-in-psl-2q asked a related question and seems to contain a proof, but is there a published proof?

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user94741
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Why are all involutions conjugate in the special linear group of degree 2?

It appears to be standard that the set of non-identity involutions in $SL(2, 2^n) = PSL(2, 2^n)$ forms a single conjugacy class. What is the best reference for this?

I note that http://math.stackexchange.com/questions/208255/conjugacy-classes-of-elements-of-a-prime-order-in-psl-2q asked a related question and seems to contain a proof, but is there a published proof?