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

Authors

  • Domenico Lenzi

DOI:

https://doi.org/10.1285/i15900932v30n2p97

Keywords:

affine Hall triple systems, 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.

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Published

16-10-2011

Issue

Volume 30, Issue 2 (2010)

Section

Articoli

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