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单词 Composition Series
释义

Composition Series

Every Finite Group of order greater than one possesses a finite series of Subgroups, called acomposition series, such that


where is a maximal subgroup of . The Quotient Groups , , ...,, are called composition quotient groups.

See also Finite Group, Jordan-Hölder Theorem, Quotient Group, Subgroup


References

Lomont, J. S. Applications of Finite Groups. New York: Dover, p. 26, 1993.


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