The cyclic group of order 4 has members ( left mathbf E , mathbf A , mathbf B mathbf A 2 , mathbf C mathbf A 3 ight ), and its product table is (a) What are the classes of this group (b) How many irreducible representations does this group have (c) What are the dimensions of its irreducible represe...

Data from Theorem 4 The numb ...

The cyclic group of order 4 has members (left{mathbf{E}, mathbf{A}, mathbf{B}=mathbf{A}^{2}, mathbf{C}=mathbf{A}^{3}ight}), and its product table is

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The cyclic group of order 4 has members $\left\{\mathbf{E}, \mathbf{A}, \mathbf{B}=\mathbf{A}^{2}, \mathbf{C}=\mathbf{A}^{3}ight\}$, and its product table is

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(a) What are the classes of this group?

(b) How many irreducible representations does this group have?

(c) What are the dimensions of its irreducible representations?

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The cyclic group of order 4 has members (left{mathbf{E}, mathbf{A}, mathbf{B}=mathbf{A}^{2}, mathbf{C}=mathbf{A}^{3}ight}), and its product table is

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E A B C E E A B C A A B C E B B CE CCE A A B

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An Introduction To Groups And Their Matrices For Science Students

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