One-relator group
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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Definition
Symbol-free definition
A group is said to be a one-relator group if it satisfies the following equivalent conditions:
- It has a presentation with only one relation
- It is the quotient of a free group by a point-closure (viz, the normal closure of a single element)