Bireflectionality in Classical Groups

Abstract

The motion groups of the real Euclidean plane and of the elliptic plane, the group of projectivities of a line, the projective general linear group PGL 2 (K), some orthogonal groups O 3 (K, Q) with char K = 2 (see [8]), are all bireflectional (zweispiegelig). There can be no doubt that bireflectional groups are of prime importance in any theory of groups that are generated by involutions. A brief look into F. Bachmann's book [ 1 ] gives convincing evidence.

Locations

• Canadian Journal of Mathematics - View - PDF