Unitals in Projective Planes
Unitals in Projective Planes by Susan Barwick
Book DescriptionThis 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 bound.
Buy Unitals in Projective Planes book by Susan Barwick from Australia's Online Bookstore, Boomerang Books.
Book DetailsISBN: 9780387763644
(234mm x 156mm x 12mm)
Imprint: Springer-Verlag New York Inc.
Publisher: Springer-Verlag New York Inc.
Publish Date: 28-Aug-2008
Country of Publication: United States
» Have you read this book? We'd like to know what you think about it - write a review about Unitals in Projective Planes book by Susan Barwick and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a member - it's free to sign up!)
Phone: 1300 36 33 32 (9am-5pm Mon-Fri AEST) - International: +61 2 9960 7998 - Online Form
Address: Boomerang Books, 878 Military Road, Mosman Junction, NSW, 2088
© 2003-2017. All Rights Reserved. Eclipse Commerce Pty Ltd - ACN: 122 110 687 - ABN: 49 122 110 687