Unitals in Projective Planes is popular PDF and ePub book, written by Susan Barwick in 2009-04-03, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Unitals in Projective Planes can be Read Online from any device for your convenience.
Unitals in Projective Planes Book PDF Summary
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 bound.
Detail Book of Unitals in Projective Planes PDF
- Author : Susan Barwick
- Release : 03 April 2009
- Publisher : Springer Science & Business Media
- ISBN : 9780387763668
- Genre : Mathematics
- Total Page : 197 pages
- Language : English
- PDF File Size : 9,5 Mb
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