Foundations of translation planes
Author(s)
Bibliographic Information
Foundations of translation planes
（Monographs and textbooks in pure and applied mathematics, 243）
Marcel Dekker, c2001
Available at / 31 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:516.12/B4922070535202
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Note
Bibliography: p. 527-533
Includes index
Description and Table of Contents
Description
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.
Table of Contents
- Andre's theory of spreads
- spreads in PG(3,K)
- partial spreads and translation nets
- spreadsheets and partial spreadsets
- geometry of spreadsets
- co-ordinatization by spreadsets - general cases
- partial quasifields
- co-ordinatization by (partial) quasifields
- rational desarguesian nets
- quasigroups, loops and nuclei
- (pre)quasifields -algebraic axioms and autopisms
- the kernel of spreadsets and quasifields
- quadratics of two dimensional quasifields - Hall systems
- spreads in projective spaces
- kernel subplanes across Desarguesian nets
- derivation of finite spreads
- Foulser's covering theorem
- structure of Baer groups
- Frobenius complements, p-primitive collineations, and Klein-4 groups
- large planar groups
- finite generalized Andre systems and nearfields
- elation net theory
- Baer-elation theory
- semifields. (Part contents)
by "Nielsen BookData"