problemb - S 3 To save writing abbreviate P 12 etc by(12...

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B. Show that the pair 1 6 ( x 1 + x 2 - 2 x 3 ) , (1) 1 2 ( x 1 - x 2 ) . (2) transform as the mixed 2-dimensional representation of S 3 by calculating the matrices that represent the transpositions P 12 , P 23 , and P 31 and showing that they generate the 6 × 6 group table of
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Unformatted text preview: S 3 . To save writing abbreviate P 12 , etc., by (12). Use cycle notation. Multiply from left to right. The elements of the group table are (row)(column). Work from left to right in each cycle....
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