Difference set

This term is related to: incidence geometry
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This article defines a property of subsets of groups
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Definition

A subset $D$ of a finite group $G$ is termed a difference set if every non-identity element of $G$ can be written as a right quotient of elements of $D$ in exactly $\lambda$ ways, for some fixed $\lambda$ independent of the choice of element.

Related notions

• Relative difference set
• Divisible difference set for a design