Synopses & Reviews
An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and techniques for the construction of new planes.
Book News Annotation:
Doubling as a reference guide and textbook, this volume describes the
construction and analysis of translation planes with regard to
spreads, partial spreads, coordinate structures, automorphism, and
collineation groups. The book represents geometric, algebraic, and
group-theoretic approaches to translation planes, discusses the
theory of coordination, and considers the theorems of Ostrom, Hering,
Foulser, and Andr<'e>. It highlights the manipulation of incidence
structures by various coordinate systems, including the quasifields,
spreads, and matrix spreadsheets.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Description:
Includes bibliographical references (p. 527-533) and index.
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