3 research outputs found
S-spaces from free extensions
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
S-spaces from free extensions
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
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