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Finite subnormal subgroup

2 bytes removed, 22:10, 12 May 2010
Relation with other properties
! Property !! Meaning !! Proof of implication !! Proof of strictness (reverse implication failure) !! Intermediate notions
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| [[Weaker than::Finite characteristic subgroup]] || the subgroup is both a [[finite group]] and a [[characteristic subgroup]] || || (characteristic implies subnormal, via normal) || use [[normal not implies characteristic]] (finite examples) || {{intermediate notions short|finite subnormal subgroup|finite characteristic subgroup}}
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| [[Weaker than::Finite normal subgroup]] || the subgroup is both a [[finite group]] and a [[normal subgroup]] || (normal implies subnormal) || [[normality is not transitive]] (finite examples) || {{intermediate notions short|finite subnormal subgroup|finite normal subgroup}}
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