Let 
be a planar Abelian difference set and 
be any divisor of 
. Then 
is a numerical multiplier of 
, where a multiplier is defined as an automorphism 
of a group 
which takes 
to a translation 
of itself for some 
. If 
is of the form 
for 
relatively prime to the order of 
, then 
is called a numerical multiplier.
First Multiplier Theorem
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References
Gordon, D. M. "The Prime Power Conjecture is True for
."
Electronic J. Combinatorics 1, No. 1, R6, 1-7, 1994. http://www.combinatorics.org/Volume_1/Abstracts/v1i1r6.html.Referenced on Wolfram|Alpha
First Multiplier TheoremCite this as:
Weisstein, Eric W. "First Multiplier Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FirstMultiplierTheorem.html