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, 11:56, 25 April 2012
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| + | |
| + | <pre> |
| + | Table 33.1 Multiplication Operation of the Group V4 |
| + | * 1 r s t |
| + | 1 1 r s t |
| + | r r 1 t s |
| + | s s t 1 r |
| + | t t s r 1 |
| + | </pre> |
| + | |
| + | <pre> |
| + | Table 33.2 Regular Representation of the Group V4 |
| + | Element Function as Set of Ordered Pairs of Elements |
| + | 1 { <1, 1>, <r, r>, <s, s>, <t, t> } |
| + | r { <1, r>, <r, 1>, <s, t>, <t, s> } |
| + | s { <1, s>, <r, t>, <s, 1>, <t, r> } |
| + | t { <1, t>, <r, s>, <s, r>, <t, 1> } |
| + | </pre> |
| + | |
| + | <pre> |
| + | Table 33.3 Regular Representation of the Group V4 |
| + | Element Function as Set of Ordered Pairs of Symbols |
| + | 1 { <"1", "1">, <"r", "r">, <"s", "s">, <"t", "t"> } |
| + | r { <"1", "r">, <"r", "1">, <"s", "t">, <"t", "s"> } |
| + | s { <"1", "s">, <"r", "t">, <"s", "1">, <"t", "r"> } |
| + | t { <"1", "t">, <"r", "s">, <"s", "r">, <"t", "1"> } |
| + | </pre> |