In group theory what are definitions of:
- finite-by-nilpotent,
- nilpotent-by-finite,
- abelian-by-finite,
- or in general: *-by- *?
2026-04-29 18:18:24.1777486704
Definition of finite-by-nilpotent
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A group $G$ is called X-by-Y if it has a normal subgroup $N$ that belongs to the class X and the quotient $G/N$ belongs to the class Y.