12,080
edits
Changes
MyWikiBiz, Author Your Legacy — Sunday November 24, 2024
Jump to navigationJump to searchDirectory talk:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)
Revision as of 19:01, 25 April 2012
, 19:01, 25 April 2012→Table Work: + table data
<br>
<br>
<pre>
Table 34.1 Multiplicative Presentation of the Group Z4(.)
. 1 a b c
1 1 a b c
a a b c 1
b b c 1 a
c c 1 a b
</pre>
<pre>
Table 34.2 Regular Representation of the Group Z4(.)
Element Function as Set of Ordered Pairs of Elements
1 { <1, 1>, <a, a>, <b, b>, <c, c> }
a { <1, a>, <a, b>, <b, c>, <c, 1> }
b { <1, b>, <a, c>, <b, 1>, <c, a> }
c { <1, c>, <a, 1>, <b, a>, <c, b> }
</pre>
<pre>
Table 35.1 Additive Presentation of the Group Z4(+)
+ 0 1 2 3
0 0 1 2 3
1 1 2 3 0
2 2 3 0 1
3 3 0 1 2
</pre>
<pre>
Table 35.2 Regular Representation of the Group Z4(+)
Element Function as Set of Ordered Pairs of Elements
0 { <0, 0>, <1, 1>, <2, 2>, <3, 3> }
1 { <0, 1>, <1, 2>, <2, 3>, <3, 0> }
2 { <0, 2>, <1, 3>, <2, 0>, <3, 1> }
3 { <0, 3>, <1, 0>, <2, 1>, <3, 2> }
</pre>
