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单词 Characteristic Factor
释义

Characteristic Factor

A characteristic factor is a factor in a particular factorization of the Totient Function such that theproduct of characteristic factors gives the representation of a corresponding abstract Group as a DirectProduct. By computing the characteristic factors, any Abelian Group can be expressed as aDirect Product of Cyclic Subgroups, forexample, Finite Group Z2Z4 or Finite Group Z2Z2Z2. Thereis a simple algorithm for determining the characteristic factors of Modulo Multiplication Groups.

See also Cyclic Group, Direct Product (Group), Modulo Multiplication Group, Totient Function


References

Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, p. 94, 1993.


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