Consider the group of permutations of the set $X={1,2,3,4,5,6}$. Compute the following products, where permutations are denoted
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Consider the group of permutations of the set $X=\{1,2,3,4,5,6\}$. Compute the following products, where permutations are denoted using the shortened cycle notation, i.e., omitting one-element cycles, and with the trivial permutation denoted by $E$, the symbol "." represents the group product, and the permutation on the right is the one which acts first:
- $(235)(46) \cdot(14)(265)$,
- $(1635)(24) \cdot(1536)(24)$,
- $(26)(35) \cdot(24536)$,
- $(165)(23) \cdot(13)(26)$,
- $(1326) \cdot(154)$,
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Related Book For
Mathematical Methods For Physics An Introduction To Group Theory Topology And Geometry
ISBN: 9781107191136
1st Edition
Authors: Esko Keski Vakkuri, Claus Montonen, Marco Panero
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