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GroupTheoryPaclet

Guides

  • Extra Group Theory Functionality

Symbols

  • CharacteristicSubgroupQ
  • CommutatorSubgroup
  • DerivedSeries
  • DerivedSubgroup
  • FindGroupIsomorphism
  • GroupAutomorphismGroup
  • GroupCenter
  • GroupConjugacyClasses
  • GroupDirectProduct
  • GroupMinimalGeneratingSet
  • GroupQ
  • InnerAutomorphismGroup
  • IsomorphicGroupsQ
  • NormalSubgroupQ
  • OuterAutomorphismGroup
  • PerfectGroupQ
  • QuotientGroup
DanielMcDonald`GroupTheoryPaclet`
IsomorphicGroupsQ
​
IsomorphicGroupsQ
[
g
1
,
g
2
]
tests if groups
g
1
and
g
2
are isomorphic.
​
Examples  
(2)
Basic Examples  
(2)
See that the following two groups are isomorphic:
In[7]:=
IsomorphicGroupsQ
[SymmetricGroup[3],DihedralGroup[3]]
Out[7]=
True
​
See that the following two groups are not isomorphic:
In[1]:=
IsomorphicGroupsQ
[SymmetricGroup[4],DihedralGroup[4]]
Out[1]=
False
SeeAlso
FindGroupIsomorphism
RelatedGuides
▪
Extra Group Theory Functionality
""

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