
Scattered spaces and eggs in finite projective spaces
Topics in Finite Geometry
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This book is concerned with Galois Geometry or FiniteGeometry, quite a young area in Mathematics thatdates back to around 1950 with the work of thecelebrated Italian mathematician Beniamino Segre whostudied n-dimensional projective spaces over finitefields and substructures of these spaces. Since thenFinite Geometry has received more and more attentiondue to its close links with other areas ofmathematics such as Group Theory and Algebra, as wellas its many applications in Coding Theory andCryptography.The topics treated in this book play a key role inFinite Geometry and can serve as an introdu...
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.
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.