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BUILT-IN MATHEMATICA SYMBOL
FiniteAbelianGroupCount
FiniteGroupData
See Also »
|
Combinatorial Functions
Discrete Mathematics
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Computable Data
New in 7.0: Mathematics & Algorithms
More About »
FiniteGroupCount
FiniteGroupCount
[
n
]
gives the number of finite groups of order
n
.
MORE INFORMATION
Integer mathematical function, suitable for both symbolic and numerical manipulation.
FiniteGroupCount
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Table of values:
Table of values:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(2)
Square-free number:
FiniteGroupCount
threads element-wise over lists:
Applications
(2)
Density of 1 for groups with order less than
:
The number of non-Abelian groups of order
n
:
Properties & Relations
(1)
FiniteGroupCount
[
p
]
takes the value
for all prime
p
:
FiniteGroupCount
takes the value
for all prime
p
:
FiniteGroupCount
takes the value
for all prime
p
:
SEE ALSO
FiniteAbelianGroupCount
FiniteGroupData
MORE ABOUT
Combinatorial Functions
Discrete Mathematics
Summary of New Features in 7.0
New in 7.0: Alphabetical Listing
New in 7.0: Computable Data
New in 7.0: Mathematics & Algorithms
New in 7