Singer groups, an approach from a group of multipliers of even order

Ho, Chat Yin

doi:10.1090/S0002-9939-1993-1160300-3

Singer groups, an approach from a group of multipliers of even order
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Proc. Amer. Math. Soc. 119 (1993), 925-930 Request permission

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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