2. Let T = {o € S4 | 0(3) = 3}. (a) Show that T is a subgroup of S4. (b) Prove that T = S3.

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2. Let T σE
{o E S4 | 0(3) = 3}.
(a) Show that T is a subgroup of S4.
(b) Prove that T = S3.
Transcribed Image Text:2. Let T σE {o E S4 | 0(3) = 3}. (a) Show that T is a subgroup of S4. (b) Prove that T = S3.
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