Miniquaternion Geometry by T. G. Room, P. B. Kirkpatrick - 9780521090643

Miniquaternion GeometryAn Introduction to the Study of Projective Planes\nAuthor(s): T. G. Room, P. B. Kirkpatrick\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521090643, 978-0521090643\nSynopsis\nThis tract provides an introduction to four finite geometrical systems and to the theory of projective planes. Of the four geometries, one is based on a nine-element field and the other three can be constructed from the nine-element 'miniquaternion algebra', a simple system which has many though not all the properties of a field. The three systems based on the miniquaternion algebra have widely differing properties; none of them has the homogeneity of structure which characterizes geometry over a field. While these four geometries are the main subject of this book, many of the ideas developed are of much more general significance. The authors have assumed a knowledge of the simpler properties of groups, fields, .