The Maximality of the Group of Euclidean Similarities within the Affine Group II
Abstract
The purpose of this note is to show that for an arbitrary Pythagorean field the group is maximal within if, and only if, admits only of Archimedean orderings.Under the same conditions the group of dimensional Euclidean similarities is maximal within the group of all affine mappings having a determinant of the form .
DOI Code:
10.1285/i15900932v21n2p135
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