# Difference between revisions of "Hadamard difference set"

From Groupprops

m (3 revisions) |
|||

(One intermediate revision by the same user not shown) | |||

Line 5: | Line 5: | ||

A [[difference set]] in a [[group]] is termed a '''Hadamard difference set''' or a '''Menon difference set''' if its [[order of a difference set|order]] is 1/4 times the [[order]] of the group. | A [[difference set]] in a [[group]] is termed a '''Hadamard difference set''' or a '''Menon difference set''' if its [[order of a difference set|order]] is 1/4 times the [[order]] of the group. | ||

− | The significance is that the order of a difference set can | + | The significance is that the order of a difference set can be at most (roughly) 1/4 the order of the group. |

## Latest revision as of 23:42, 7 May 2008

Template:Difference set property

## Definition

A difference set in a group is termed a **Hadamard difference set** or a **Menon difference set** if its order is 1/4 times the order of the group.

The significance is that the order of a difference set can be at most (roughly) 1/4 the order of the group.