Combinatorics of Finite Geometries by Lynn Margaret Batten - 9780521590143

Combinatorics of Finite GeometriesAuthor(s): Lynn Margaret Batten\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521590143, 978-0521590143\nSynopsis\nThis book is an introductory text on the combinatorial theory of finite geometry. It assumes only a basic knowledge of set theory and analysis, but soon leads the student to results at the frontiers of research. It begins with an elementary combinatorial approach to finite geometries based on finite sets of points and lines, and moves into the classical work on affine and projective planes. The next part deals with polar spaces, partial geometries, and generalised quadrangles. The revised edition contains an entirely new chapter on blocking sets in linear spaces, which highlights some of the most important applications of blocking sets from the initial game-theoretic setting to their recent use in cryptography. Extensive exercises at the end of each chapter ens.