Prove subset of transformations is a group
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$begingroup$
I'm trying to prove that the subset of linear transformations given below is a group: Let $T^n$ denote the n-fold composition of any $T∈ℒ(V)$ . For instance, the two fold composition $Tcirc T$ is denoted $T^2$ . Let $T∈ℒ(V)$ such that $T≠I$ and $T^n=I$ . Show that $C_n={I^{},T^{},T^2,...T^{n−1}}$ is a group.
linear-algebra abstract-algebra group-theory cyclic-groups
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asked Dec 2 '18 at 23:21
courtorder52 courtorder52
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$endgroup$
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