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Sheila496 October 20th, 2011 09:45 AM

About minimal normal groups and subnormal groups
 
Hello everybody, I would like to have some help with these two questions:

1. Let be a finite nilpotent group and a minimal normal subgroup. Show that .

2. Let be a group and verifying non-abelian subnormal subgroups of . Prove that

1. I have already proved that must be abelian; , but I find no way of proving that using that the nilpotency of and each one of its characterizations. Any idea?

Regards and thanks in advance.
Sheila.


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