A characterization of the affine Hall triple systems defined by groups of exponent 3


Abstract


In this paper we show that if (\mathbf{G}, \mathcal{L}) is the Hall      triple system associated with a group of exponent 3 (\mathbf{G}, +),      then (\mathbf{G}, \mathcal{L}) is an affine space if and only if      (\mathbf{G}, +) is nilpotent of class at most 2.


DOI Code: 10.1285/i15900932v30n2p97

Keywords: affine Hall triple systems; groups of exponent 3

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