Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Taggar`MGroups`
MCoset  |
|
| | ||||
Details and Options
Examples
(1)
Basic Examples
(1)
Define group:
In[1]:=
G=
[18]
 | MAdditiveGroup |
Out[1]=
MGroup
 |  |
|
Define subgroup:
In[2]:=
H=
[G,6]
| MGenerateSubgroup |
Out[2]=
{0,6,12}
Define coset:
In[3]:=
 | MCoset |
Out[3]=
{2,8,14}
See list of elements and cosets:
In[4]:=
TableFormTablex,Sort@
[G,H,x],x,
[G],TableDepth2
 | MCoset |
| MGroupDomain |
Out[4]//TableForm=
0 | {0,6,12} |
1 | {1,7,13} |
2 | {2,8,14} |
3 | {3,9,15} |
4 | {4,10,16} |
5 | {5,11,17} |
6 | {0,6,12} |
7 | {1,7,13} |
8 | {2,8,14} |
9 | {3,9,15} |
10 | {4,10,16} |
11 | {5,11,17} |
12 | {0,6,12} |
13 | {1,7,13} |
14 | {2,8,14} |
15 | {3,9,15} |
16 | {4,10,16} |
17 | {5,11,17} |
See right cosets:
In[5]:=
| MCoset |
Out[5]=
{2,8,14}
 |
|
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