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FiniteAbelianGroupCount

FiniteAbelianGroupCount[n]
gives the number of finite Abelian groups of order n.
  • Integer mathematical function, suitable for both symbolic and numerical manipulation.
Table of values:
Table of values:
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Evaluate for large arguments:
FiniteAbelianGroupCount threads element-wise over lists:
Number of non-Abelian groups of order n:
Compare cumulative counts of even and odd numbers of Abelian groups:
The number of finite Abelian groups can be found using PartitionsP:
FiniteAbelianGroupCount[n] depends only on prime exponents of n:
FiniteAbelianGroupCount is a multiplicative function:
FiniteAbelianGroupCount evaluates only for explicit integer values:
Use Simplify to find implicit integers in arguments:
Successive differences of FiniteAbelianGroupCount modulo 2:
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