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Unitals in Projective Planes (Hardcover, 2008 ed.)
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Unitals in Projective Planes (Hardcover, 2008 ed.)
Series: Springer Monographs in Mathematics
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This book is a monograph on unitals embedded in ?nite projective
planes. Unitals are an interesting structure found in square order
projective planes, and numerous research articles constructing and
discussing these structures have appeared in print. More
importantly, there still are many open pr- lems, and this remains a
fruitful area for Ph.D. dissertations. Unitals play an important
role in ?nite geometry as well as in related areas of mathematics.
For example, unitals play a parallel role to Baer s- planes when
considering extreme values for the size of a blocking set in a
square order projective plane (see Section 2.3). Moreover, unitals
meet the upper bound for the number of absolute points of any
polarity in a square order projective plane (see Section 1.5). From
an applications point of view, the linear codes arising from
unitals have excellent technical properties (see 2 Section 6.4).
The automorphism group of the classical unitalH =H(2, q ) is
2-transitive on the points ofH, and so unitals are of interest in
group theory. In the ?eld of algebraic geometry over ?nite ?elds, H
is a maximal curve that contains the largest number of F -rational
points with respect to its genus, 2 q as established by the
Hasse-Weil boun
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Springer Monographs in Mathematics |
Release date: |
August 2008 |
First published: |
2008 |
Authors: |
Susan Barwick
• Gary Ebert
|
Dimensions: |
235 x 155 x 20mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
196 |
Edition: |
2008 ed. |
ISBN-13: |
978-0-387-76364-4 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
Promotions
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LSN: |
0-387-76364-3 |
Barcode: |
9780387763644 |
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