A new free rank-8 Z[φ]-order is built by doubling the icosian ring, equipped with a 240-element H4⊕H4 finite root shell, shown to be self-dual under the polar norm and free of octonion-stable nonzero isotropic gluings in its first trace-integral discriminant tower.
Algebras and their Arithmetics. By Prof. L. E. Dickson. Pp. xii +241. $2.25. 1923. (University of Chicago Press.)
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Non-crystallographic systems of integers over composition algebras
A new free rank-8 Z[φ]-order is built by doubling the icosian ring, equipped with a 240-element H4⊕H4 finite root shell, shown to be self-dual under the polar norm and free of octonion-stable nonzero isotropic gluings in its first trace-integral discriminant tower.