11 Mar
2015
11 Mar
'15
2:33 p.m.
It appears to me that the 24 points on the unit sphere S^3 in R^4, of form (±√½, ±√½, 0, 0) (and permutations) form a multiplicative system with inverses. QUESTION: How many such 24-element multiplicative systems with inverses are there in S^3 ? --Dan
On Mar 10, 2015, at 9:11 AM, Adam P. Goucher <apgoucher@gmx.com> wrote:
. . . the fact that the Lipschitz quaternions of unit norm (abstractly Q_8) form an index-3 normal subgroup of the Hurwitz quaternions of unit norm (abstractly 2T):