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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`
PerfectGroupQ
​
PerfectGroupQ
[g]
tests if group
g
is perfect.
​
Details and Options

Examples  
(3)
Basic Examples  
(2)
Test if a group is perfect:
In[53]:=
PerfectGroupQ
[AlternatingGroup[5]]
Out[53]=
True
​
See that a group is not perfect:
In[1]:=
PerfectGroupQ
[AlternatingGroup[4]]
Out[1]=
False
Properties & Relations  
(1)

SeeAlso
CommutatorSubgroup
 
▪
DerivedSubgroup
 
▪
DerivedSeries
RelatedGuides
▪
Extra Group Theory Functionality
""

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