“SchreierRefinementTheorem”的概念、定义、习题解题方法及翻译-数学辞典

单词	SchreierRefinementTheorem
释义	Schreier refinement theorem The Schreier Refinement Theorem states that any two subnormal series for a group have equivalent refinements.Here, two subnormal series are considered equivalent if they have the same factors (up to isomorphism), not necessarily in the same order. This theorem can be used to prove the Jordan-Hölder Theorem (http://planetmath.org/JordanHolderDecompositionTheorem), and can also be used to prove that the Hirsch number of a polycyclic group is well-defined.
随便看	proof of the ring of integers of a number field is finitely generated over ℤ ProofOfTheUniformizationTheorem proof of the uniformization theorem ProofOfTheWeakNullstellensatz proof of the weak Nullstellensatz ProofOfTheWellfoundedInductionPrinciple proof of the well-founded induction principle ProofOfThirdIsomorphismTheorem proof of third isomorphism theorem ProofOfThuesLemma proof of Thue’s Lemma ProofOfTietzeExtensionTheorem proof of Tietze extension theorem ProofOfTopologicallyIrreducibleRepresentationsAreAlgebraicallyIrreducibleForCalgebras proof of topologically irreducible representations are algebraically irreducible for C^*-algebras ProofOfTranscendentalRootTheorem proof of transcendental root theorem ProofOfTriangleIncenter proof of triangle incenter ProofOfTrigonometricVersionOfCevasTheorem proof of trigonometric version of Ceva’s theorem ProofOfTukeysLemma proof of Tukey’s lemma ProofOfTuransTheorem proof of Turan’s theorem

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

Schreier refinement theorem