First Multiplier Theorem
Let 
be a planar Abelian Difference Set and 
be any Divisor of 
. Then is a numerical multiplierof , where a multiplier is defined as an automorphism 
of 
which takes to a translation 
of itselffor some 
. If is of the form 
for 
relatively prime to the order of , then is called a numerical multiplier.
References
Gordon, D. M. ``The Prime Power Conjecture is True for 
.'' Electronic J. Combinatorics 1, R6 1-7, 1994.http://www.combinatorics.org/Volume_1/volume1.html#R6.
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