G group is called meta- Abelian if it has an Abelian subgroup N which is normal in G G and is Abelian. N A) Show that Sz is meta- Abelian.

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ISBN:9780470458365
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G group is called meta- Abelian if it has an Abelian subgroup N which is normal in
G
G and is Abelian.
N
A) Show that Sz is meta- Abelian.
B) Prove that any convergent image of a group is meta- Abelian, meta- Abelian.
C) Prove that each subgroup is a meta-abl group, meta-abl.
Transcribed Image Text:G group is called meta- Abelian if it has an Abelian subgroup N which is normal in G G and is Abelian. N A) Show that Sz is meta- Abelian. B) Prove that any convergent image of a group is meta- Abelian, meta- Abelian. C) Prove that each subgroup is a meta-abl group, meta-abl.
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