Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
Taggar`MGroups`
MAbelianQ  |
Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
 | MKlein4Group |
| MAbelianQ |
Out[1]=
True
D
3
In[2]:=
D
3
 | MDihedralGroup |
Out[2]=
MGroup
 |  |
|
In[3]:=
| MAbelianQ |
D
3
Out[3]=
False
Check if a subgroup is cyclic or not:
In[4]:=
| MAbelianQ |
D
3
Out[4]=
True
Find abelian subgroups of :
U
30
In[5]:=
subs=
[]
| MSubgroups |
D
3
Out[5]//TableForm=
Subgroup | Generated by |
{r0} | {r0} |
{r0,r1,r2} | {r1} |
{r0,s0} | {s0} |
{r0,s1} | {s1} |
{r0,s2} | {s2} |
{r0,r1,r2,s0,s1,s2} | {r1,s0} |
In[6]:=
Selectsubs1All,1,
[,#]&
 | MAbelianQ |
D
3
Out[6]=
{{r0},{r0,r1,r2},{r0,s0},{r0,s1},{r0,s2}}
where subs[[1]][[All,1]] extracts the list of subgroups from subs.
 |
|
""