Dear Forum,
Can somebody gime me a construction of a transfinitely upper nilpotent
group of class bigger than omega?
That is, I define the upper central series of G by Z_0(G)=1,
Z_{k+1}(G)/Z_k(G)=Z(G/Z_k(G)) and Z_\kappa(G)=U_{k<\kappa} Z_k(G) for
limit ordinals.
I have Z_\kappa(G)=G for some ordinal \kappa. Are there examples where
\kappa>\omega? In particular, what about \kappa=\omega+1?
Thanks in advance, bye,
Gabor
_______________________________________________
Forum mailing list
Forum@mail.gap-system.org
http://mail.gap-system.org/mailman/listinfo/forum
