| 书目名称 | Unitals in Projective Planes | | 编辑 | Gary Ebert,Susan Barwick | | 视频video | | | 概述 | No other book on unitals, this book will fill that void.Text is clear and easy to follow.Book is well-structured and comprehensive with excellent diagrams | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | 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, | | 出版日期 | Book 2008 | | 关键词 | algebra; classification; field; linear algebra; number theory; combinatorics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-76366-8 | | isbn_softcover | 978-1-4419-2619-7 | | isbn_ebook | 978-0-387-76366-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag New York 2008 |
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发表于 2025-3-21 16:34:50
