We prove that there exist S-spaces containing an arbitrary number of non-isomorphic affine planes of any admissible order. The proof is obtained by constructing some new S-spaces in two different ways. In oe 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.
S-spaces from free extensions
SONNINO, Angelo
2008-01-01
Abstract
We prove that there exist S-spaces containing an arbitrary number of non-isomorphic affine planes of any admissible order. The proof is obtained by constructing some new S-spaces in two different ways. In oe 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.File in questo prodotto:
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