Abstract
The order of a Sylow $2$-subgroup of a multiplier group of an abelian Singer group is at most half the order of the order of a Sylow $2$-subgroup of the automorphism group of the Singer group. We determine the situation when equality occurs. We also study the effect of a nontrivial Sylow $2$-subgroup of a multiplier group on the structure of the Singer group.
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