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Intermediately fully invariant subgroup

4 bytes added, 01:49, 14 August 2009
Metaproperties
{{intransitive}}
An intermediately fully characteristic subgroup of an intermediately fully characteristic subgroup need not be intermediately fully characteristic.  {{proofat|[[Intermediate full invariance is not transitive]]}}
{{join-closed|strongly}}
{{proofat|[[Intermediate full invariance is strongly join-closed]]}}
 
{{further|[[Intermediately operator preserves join-closedness]], [[Full invariance is strongly join-closed]]}}
{{quot-transitive}}
{{proofat|[[Intermediate full invariance is quotient-transitive]]}}
 
{{further|[[Intermediately operator preserves quotient-transitivity]], [[Full invariance is quotient-transitive]]}}
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