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The query [[Fact about.Page::Normal subgroup]] was answered by the SMWSQLStore3 in 0.0133 seconds.


Results 1 – 20    (Previous 20 | Next 20)   (20 | 50 | 100 | 250 | 500)   (JSON | CSV | RSS | RDF)
 Difficulty levelFact about
Automorph-join-closed subnormal of normal implies conjugate-join-closed subnormal1Composition operator (?)
Automorph-join-closed subnormal subgroup (?)
Normal subgroup (?)
Conjugate-join-closed subnormal subgroup (?)
Automorph-permutable of normal implies conjugate-permutable1Composition operator (?)
Automorph-permutable subgroup (?)
Normal subgroup (?)
Conjugate-permutable subgroup (?)
Bound on double coset index in terms of orders of group and subgroupDouble coset of a pair of subgroups (?)
Double coset index of a subgroup (?)
Subgroup of finite index (?)
Malnormal subgroup (?)
Normal subgroup (?)
Frobenius subgroup (?)
Cartan-Brauer-Hua theorem4Normal subgroup (?)
Division ring (2)
Central factor implies normalCentral factor (2)
Normal subgroup (2)
Central implies normal1Central subgroup (2)
Normal subgroup (2)
Characteristic implies normal1Characteristic subgroup (1)
Normal subgroup (1)
Characteristic of normal implies normal1Composition operator (?)
Characteristic subgroup (?)
Normal subgroup (?)
Commutator of a group and a subgroup implies normal3Commutator operator (3)
Improper subgroup (2)
Subgroup (2)
Normal subgroup (2)
Subgroup realizable as the commutator of the whole group and a subgroup (2)
Commutator of a group and a subset implies normal3Commutator operator (3)
Improper subgroup (2)
Subset of a group (2)
Normal subgroup (2)
Commutator of a normal subgroup and a subgroup not implies normalNormal subgroup (?)
Commutator of two subgroups (?)
Commutator of a normal subgroup and a subset implies 2-subnormalCommutator operator (3)
Normal subgroup (2)
Subset of a group (2)
2-subnormal subgroup (2)
Subgroup realizable as the commutator of a normal subgroup and a subset (2)
Comparable with all normal subgroups implies normal in nilpotent groupNilpotent group (?)
Subgroup comparable with all normal subgroups (?)
Normal subgroup (?)
Subgroup comparable with all normal subgroups of nilpotent group (2)
Normal subgroup of nilpotent group (3)
Composition of subgroup property satisfying intermediate subgroup condition with normality equals property in normal closureIntermediate subgroup condition (?)
Composition operator (?)
Normal subgroup (?)
Normal closure (?)
Conjugate-comparable not implies normalConjugate-comparable subgroup (2)
Normal subgroup (2)
Conjunction of normality with any nontrivial finite-direct product-closed property of groups is not transitiveFinite-direct product-closed group property (?)
Normal subgroup (?)
Direct factor implies normalDirect factor (2)
Normal subgroup (2)
Equivalence of conjugacy and commutator definitions of normality1Normal subgroup (1)
Equivalence of conjugacy and coset definitions of normality1Normal subgroup (1)
Normalizer of a subgroup (1)
Conjugate subgroups (?)
Left coset of a subgroup (?)
Normalizer of a subgroup (?)
Normal subgroup (?)
Every group is normal fully normalized in its holomorphHolomorph of a group (?)
Normal subgroup (?)
Fully normalized subgroup (?)