Relative difference set for a subgroup

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This term is related to: incidence geometry
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Definition

A subset D of a group G is termed a relative difference set with forbidden subgroup N if:

  • No non-identity element of N can be expressed as a right quotient of elements of D
  • Every element outside N can be expressed as a right quotient of elements of D in exactly \lambda ways where \lambda is a constant independent of the choice of element

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