virtually nilpotent group造句

Common uses for this would be when P is polynomial growth are precisely the finitely generated virtually nilpotent groups.
Beyond Gromov's theorem one can ask whether there exists a gap in the growth spectrum for finitely generated group just above polynomial growth, separating virtually nilpotent groups from others.
The result obtained is actually a bit stronger since it establishes that there exists a " growth gap " between virtually nilpotent groups ( of polynomial growth ) and other groups; that is, there exists a ( superpolynomial ) function f such that any group with growth function bounded by a multiple of f is virtually nilpotent.
It's difficult to find virtually nilpotent group in a sentence. 用virtually nilpotent group造句挺难的