“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	left hand rule LeftIdentityAndRightIdentity left identity and right identity LeftmostDerivation leftmost derivation LeftRightPerpendicular left / right perpendicular LegendrePolynomial Legendre polynomial LegendresConjecture LegendresTheoremOnAnglesOfTriangle LegendreSymbol Legendre symbol LegendreTransform Legendre Transform Legendre’s conjecture Legendre’s theorem on angles of triangle Legs legs LehmannScheffeTheorem Lehmann-Scheffé theorem LehmerMean Lehmer mean LeibnizEstimateForAlternatingSeries LeibnizHarmonicTriangle

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abnormal subgroup