Find which pairs of the following groups are isomorphic: (i) The dihedral group D3 of symmetries of an equilateral triangle. (ii) The group of (complex) matrices 0 0 0 0 2 0 { ( 1 ) . ( 8 ) . ( ² ). ( ; ; ). ( ² ). ( ²6 ) } №²2 0 w² 0 W 1 W 0 under matrix multiplication, where we C and w³ cube root of unity.) {1, 2, 4, 5, 7, 8} under multiplication modulo 9. (iii) Z (iv) Z2 × Z3. = = 1,w1. (That is, w is a particular

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