Thread: Algebra, Problems For Fun (29)
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Old July 2nd, 2009, 11:41 AM
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Default Algebra, Problems For Fun (29)
Let V be a finite dimensional vector space over \mathbb{C} and T: V \longrightarrow V a linear transformation. Suppose that \text{tr}(T)=0 and T^p = \text{id}_V, for some prime number p. Prove that p \mid \dim V.
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