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Revision as of 15:03, 25 April 2012
, 15:03, 25 April 2012→Table Work
| style="border-bottom:1px solid black; border-right:1px solid black" | <math>\text{Element}\!</math>
| style="border-bottom:1px solid black; border-right:1px solid black" | <math>\text{Element}\!</math>
| colspan="6" style="border-bottom:1px solid black" | <math>\text{Function as Set of Ordered Pairs of Elements}\!</math>
| colspan="6" style="border-bottom:1px solid black" | <math>\text{Function as Set of Ordered Pairs of Elements}\!</math>
|- style="height:50px"
| width="20%" style="border-right:1px solid black" | <math>\operatorname{e}</math>
| width="4%" | <math>\{\!</math>
| width="16%" | <math>(\operatorname{e}, \operatorname{e}),</math>
| width="20%" | <math>(\operatorname{f}, \operatorname{f}),</math>
| width="20%" | <math>(\operatorname{g}, \operatorname{g}),</math>
| width="16%" | <math>(\operatorname{h}, \operatorname{h})</math>
| width="4%" | <math>\}\!</math>
|- style="height:50px"
| style="border-right:1px solid black" | <math>\operatorname{f}</math>
| <math>\{\!</math>
| <math>(\operatorname{e}, \operatorname{f}),</math>
| <math>(\operatorname{f}, \operatorname{e}),</math>
| <math>(\operatorname{g}, \operatorname{h}),</math>
| <math>(\operatorname{h}, \operatorname{g})</math>
| <math>\}\!</math>
|- style="height:50px"
| style="border-right:1px solid black" | <math>\operatorname{g}</math>
| <math>\{\!</math>
| <math>(\operatorname{e}, \operatorname{g}),</math>
| <math>(\operatorname{f}, \operatorname{h}),</math>
| <math>(\operatorname{g}, \operatorname{e}),</math>
| <math>(\operatorname{h}, \operatorname{f})</math>
| <math>\}\!</math>
|- style="height:50px"
| style="border-right:1px solid black" | <math>\operatorname{h}</math>
| <math>\{\!</math>
| <math>(\operatorname{e}, \operatorname{h}),</math>
| <math>(\operatorname{f}, \operatorname{g}),</math>
| <math>(\operatorname{g}, \operatorname{f}),</math>
| <math>(\operatorname{h}, \operatorname{e})</math>
| <math>\}\!</math>
|}
<br>
{| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center; width:60%"
|+ <math>\text{Table 33.3}~~\text{Regular Representation of the Group}~V_4</math>
|- style="height:50px"
| style="border-bottom:1px solid black; border-right:1px solid black" | <math>\text{Element}\!</math>
| colspan="6" style="border-bottom:1px solid black" | <math>\text{Function as Set of Ordered Pairs of Symbols}\!</math>
|- style="height:50px"
|- style="height:50px"
| width="20%" style="border-right:1px solid black" | <math>\operatorname{e}</math>
| width="20%" style="border-right:1px solid black" | <math>\operatorname{e}</math>
