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Directory:Jon Awbrey/Papers/Dynamics And Logic
(view source)
Revision as of 17:24, 22 June 2009
2,080 bytes removed
,
17:24, 22 June 2009
→Note 17
:
convert graphics
Line 2,971:
Line 2,971:
Here is the operation table for <math>S_3,\!</math> given in abstract fashion:
Here is the operation table for <math>S_3,\!</math> given in abstract fashion:
−
{| align="center" cellpadding="
6
"
width
="
90%"
+
{| align="center" cellpadding="
10
"
style
="
text-
align
:
center"
−
|
align
="
center" |
+
| <
math
>
\text{
Symmetric Group
}~
S_3
<
/
math>
−
<
pre
>
+
|
-
−
Symmetric Group S_3
+
|
[[Image:Symmetric Group S
(
3
)
.jpg
|
500px]]
−
o-------------------------------------------------o
−
| |
−
| ^ |
−
| e
/
\ e |
−
|
/ \ |
−
|
/ e \ |
−
| f / \ / \ f |
−
| / \ / \ |
−
| / f \ f \ |
−
| g / \ / \ / \ g |
−
| / \ / \ / \ |
−
| / g \ g \ g \ |
−
| h / \ / \ / \ / \ h |
−
| / \ / \ / \ / \ |
−
| / h \ e \ e \ h \ |
−
| i / \ / \ / \ / \ / \ i |
−
| / \ / \ / \ / \ / \ |
−
| / i \ i \ f \ j \ i \ |
−
| j / \ / \ / \ / \ / \ / \ j |
−
| / \ / \ / \ / \ / \ / \ |
−
|
(
j \ j \ j \ i \ h \ j
)
|
−
| \ / \ / \ / \ / \ / \ / |
−
| \ / \ / \ / \ / \ / \ / |
−
| \ h \ h \ e \ j \ i /
|
−
| \ / \ / \ / \ / \ / |
−
| \ / \ / \ / \ / \ / |
−
| \ i \ g \ f \ h / |
−
| \ / \ / \ / \ / |
−
| \ / \ / \ / \ / |
−
| \ f \ e \ g / |
−
| \ / \ / \ / |
−
| \ / \ / \ / |
−
| \ g \ f / |
−
| \ / \ / |
−
| \ / \ / |
−
| \ e / |
−
| \ / |
−
| \ / |
−
| v |
−
| |
−
o-------------------------------------------------o
−
</pre>
|}
|}
Jon Awbrey
12,080
edits