Scattered spaces and eggs in finite projective spaces

This book is concerned with Galois Geometry or Finite
Geometry, quite a young area in Mathematics that
dates back to around 1950 with the work of the
celebrated Italian mathematician Beniamino Segre who
studied n-dimensional projective spaces over finite
fields and substructures of these spaces. Since then
Finite Geometry has received more and more attention
due to its close links with other areas of
mathematics such as Group Theory and Algebra, as well
as its many applications in Coding Theory and
Cryptography.
The topics treated in this book play a key role in
Finite Geometry and can serve as an introductory text
for mathematicians who are interested to work in this
area or who want to get a flavor of the subject. It
is particularly useful for mathematicians who want to
become adept at the various techniques used in finite
geometry, such as polynomials over finite fields or
techniques in higher dimensional projective spaces.
This work can be seen as consisting of two main
parts, and together with the preliminaries both of
these parts can serve a as basic text for a one-term
postgraduate level in Finite Geometry.

Autorentext
Michel Lavrauw studied Mathematics at Ghent University, and obtained his PhD from Eindhoven University of Technology. He worked as a postdoctoral researcher in Discrete Mathematics (in particular Finite Geometry and Finite Semifields) at Naples University, UPC Barcelona, TU Eindhoven, UWA Perth Australia, CSU Colorado US, and Ghent University.

Klappentext
This book is concerned with Galois Geometry or Finite Geometry, quite a young area in Mathematics that dates back to around 1950 with the work of the celebrated Italian mathematician Beniamino Segre who studied n-dimensional projective spaces over finite fields and substructures of these spaces. Since then Finite Geometry has received more and more attention due to its close links with other areas of mathematics such as Group Theory and Algebra, as well as its many applications in Coding Theory and Cryptography. The topics treated in this book play a key role in Finite Geometry and can serve as an introductory text for mathematicians who are interested to work in this area or who want to get a flavor of the subject. It is particularly useful for mathematicians who want to become adept at the various techniques used in finite geometry, such as polynomials over finite fields or techniques in higher dimensional projective spaces. This work can be seen as consisting of two main parts, and together with the preliminaries both of these parts can serve a as basic text for a one-term postgraduate level in Finite Geometry.