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<br>
<br>
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<pre>
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Table 34.1 Multiplicative Presentation of the Group Z4(.)
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. 1 a b c
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1 1 a b c
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a a b c 1
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b b c 1 a
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c c 1 a b
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</pre>
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<pre>
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Table 34.2 Regular Representation of the Group Z4(.)
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Element Function as Set of Ordered Pairs of Elements
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1 { <1, 1>, <a, a>, <b, b>, <c, c> }
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a { <1, a>, <a, b>, <b, c>, <c, 1> }
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b { <1, b>, <a, c>, <b, 1>, <c, a> }
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c { <1, c>, <a, 1>, <b, a>, <c, b> }
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</pre>
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+
<pre>
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Table 35.1 Additive Presentation of the Group Z4(+)
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+ 0 1 2 3
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0 0 1 2 3
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1 1 2 3 0
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2 2 3 0 1
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3 3 0 1 2
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</pre>
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+
<pre>
+
Table 35.2 Regular Representation of the Group Z4(+)
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Element Function as Set of Ordered Pairs of Elements
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0 { <0, 0>, <1, 1>, <2, 2>, <3, 3> }
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1 { <0, 1>, <1, 2>, <2, 3>, <3, 0> }
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2 { <0, 2>, <1, 3>, <2, 0>, <3, 1> }
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3 { <0, 3>, <1, 0>, <2, 1>, <3, 2> }
+
</pre>