[GAP Forum] (no subject)

Nagy Gábor nagyg at math.u-szeged.hu
Tue Jul 29 13:12:15 BST 2008


You can take an infinite central product of the dihedral group of order 
8. Then |G'|=|Z(G)|=2.

G Abelian is no good since G/Z(G) is then trivial.



Takjk Taj wrote:
> Dear Gap forum,
> Hi,
> Could any body give me an example of group G, such that derived subgroup G and factor group G/Z(G) are finite and infinite respectively.
> Best Regards.
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