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

单词	AbnormalSubgroup
释义	abnormal subgroup A subgroup $H$ of a group $G$ is called an abnormal subgroupif $x\\in{\\left\\langle H,xHx^{-1}\\right\\rangle}$ for all $x\\in G$ . Some facts about abnormal subgroups: • Abnormal subgroups are pronormal and self-normalizing. • Non-normal (http://planetmath.org/NormalSubgroup) maximal subgroups are abnormal. • The normalizer of a pronormal subgroup is abnormal.
随便看	ProofThatNormalDistributionIsADistribution proof that normal distribution is a distribution ProofThatNumberOfSumproductNumbersInAnyBaseIsFinite proof that number of sum-product numbers in any base is finite ProofThatomegaHasTheTreeProperty ProofThatoperatornameexpGDividesG ProofThatoperatornameSpecRIsQuasicompact ProofThatPowersOf2AreASuperincreasingSequence proof that powers of 2 are a superincreasing sequence ProofThatProductsOfConnectedSpacesAreConnected proof that products of connected spaces are connected proof that Spec⁡(R) is quasi-compact ProofThatsqrt2IsIrrational proof that sqrt(2) is irrational ProofThatSylvestersMatrixEqualsTheResultant proof that Sylvester’s matrix equals the resultant ProofThattaunIsTheNumberOfPositiveDivisorsOfN ProofThatTheCompositumOfAGaloisExtensionAndAnotherExtensionIsGalois proof that the compositum of a Galois extension and another extension is Galois ProofThatTheConvexHullOfSIsOpenIfSIsOpen proof that the convex hull of S is open if S is open ProofThatTheCyclotomicPolynomialIsIrreducible proof that the cyclotomic polynomial is irreducible ProofThatTheOuterLebesgueMeasureOfAnIntervalIsItsLength proof that the outer (Lebesgue) measure of an interval is its length

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。

abnormal subgroup