... Press, Baltimore, Maryland, 1996 Hazewinkel, M (Editor), Handbook of Algebra, Vol 1, North Holland, Amsterdam, 1996 Hazewinkel, M (Editor), Handbook of Algebra, Vol 2, North Holland, Amsterdam, 2000 ... transformation of the space V , since A maps different elements of V into different elements, and for any y V there is a unique x V such that Ax = y The set of all nondegenerate linear transformations A of ... Example The subgroup of reflections with respect to the origin is finite and consists of two elements: the identity transformation and the reflection x → –x The subgroup of rotations of a plane with...