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Results tagged with nilpotent-groups
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user 19075
5
votes
Quotients of finitely generated nilpotent groups
I answer the edited question.
Every finitely generated nilpotent group contains a torsion-free subgroup of finite index (even better a poly-(infinite cyclic) subgroup). See Proposition 2 in page 2 of …
- 3,738
2
votes
Local vs global nilpotence class (Lazard correspondence)
This is not a complete answer (only gives the answer for p=2,3,5) but it is also too long to add as a comment!
Known results concerning similar questions as yours suggest that the nilpotency class of …
- 3,738