ACTA issues

Subloops of the unit octonions

Stephen M. Gagola III

Acta Sci. Math. (Szeged) 72:3-4(2006), 837-861

Abstract. Here we categorize all of the subloops of the unit octonions and in particular describe all of the finite maximal subloops. Lagrange's Theorem for Moufang loops then follows as a corollary.

AMS Subject Classification (1991): 20N05, 17A75

Received November 4, 2005, and in revised form May 29, 2006. (Registered under 7/2006.)