S-spaces from free extensions

Angelo Sonnino

Abstract


We prove that there exist S-spaces containing an arbitrary number of non-isomorphic affine planes of any order. The proof is obtained by constructing some new S-spaces in two different ways. In one case we obtain S-spaces of finite order containing an infinite number of points, while in the other case we obtain S-spaces of infinite order.

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Contributions to Discrete Mathematics. ISSN: 1715-0868