Mathematics – Group Theory
Scientific paper
1999-12-06
Mathematics
Group Theory
to appear in Groups Korea-98, De Gruyter
Scientific paper
We prove the following version of Milnor's theorem on solvable groups of
exponential growth: A finitely generated solvable group which is not polycyclic
contains an ascending HNN extension. Consequently, a finitely generated
solvable group is ERF iff it is polycyclic.
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