Let G be a finite group, let P E Syl, (G), and let P act on Syl,(G) by conjugation (see the Outline of Proof for Theorem 7.16). Assume that Q E Syl, (G) is fixed by this action, and let N P< N. Using Problem 7.3.5, conclude that Q = P. NG(Q). Show that d. %3D

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