Cover Image

Foundations of translation planes /

Bibliographic Details
Main Authors: Biliotti, Mauro, 1949- (Author), Jha, Vikram, 1943- (Author), Johnson, Norman Lloyd (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, 2018.
Edition:First edition.
Series:Monographs and textbooks in pure and applied mathematics.
Subjects:
Translation planes.
Plans de translation.
MATHEMATICS > General.
MATHEMATICS > Set Theory.
Translation planes
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Chapter 1 An Overview
  • chapter 2 Andre's Theory of Spreads
  • 2.1 Introduction
  • chapter 3 Spreads in PG(3,K)
  • 3.1 Introduction
  • chapter 4 Partial Spreads and Translation Nets
  • 4.1 Introduction
  • chapter 5 Spreadsets and Partial Spreadsets
  • 5.1 Introduction
  • chapter 6 Geometry of Spreadsets: V(r)
  • 6.1 Introduction
  • chapter 7 Coordinatization by Spreadsets: General Cases
  • 7.1 Introduction
  • chapter 8 Partial Quasifields
  • 8.1 Introduction
  • chapter 9 Coordinatization by (Partial) Quasifields
  • 9.1 Introduction
  • chapter 10 Rational Desarguesian Nets
  • 10.1 Introduction
  • chapter 11 Quasigroups, Loops and Nuclei
  • 11.1 Introduction
  • chapter 12 (Pre)Quasifields: Algebraic Axioms and Autotopisms
  • 12.1 Introduction
  • chapter 13 The Kernel of Spreadsets and Quasifields
  • 13.1 Introduction Hom(y, +)that leaves invariant every component. By the Andre theory
  • chapter 14 Quadratics of Two-Dimensional Quasifields: Hall Systems
  • 14.1 Introduction
  • chapter 15 Spreads in Projective Spaces
  • 15.1 Introduction
  • chapter 16 Kernel Subplanes across Desarguesian Nets
  • 16.1 Introduction
  • chapter 17 Derivation of Finite Spreads
  • 17.1 Introduction
  • chapter 18 Foulser's Covering Theorem
  • 18.1 Introduction
  • chapter 19 Structure of Baer Groups
  • 19.1 Introduction
  • chapter 20 Frobenius Complements, p-Primitive Collineations, and Klein Groups
  • chapter 21 Large Planar Groups
  • 21.1 Introduction
  • chapter 22 Finite Generalized Andre Systems and Nearfields
  • 22.1 Introduction
  • chapter 23 Elation Net Theory
  • 23.1 Algebra Generated by a Matrix A
  • chapter 24 Baer-Elation Theory
  • 24.1 Introduction
  • chapter 25 Semifields
  • 25.1 Introduction
  • chapter 26 Simple T-Extensions of Derivable Nets
  • 26.1 Introduction
  • chapter 27 Cyclic Semifields
  • 27.1 Intro duction
  • chapter 28 Baer Groups on Parabolic Spreads
  • 28.1 Introduction
  • chapter 29 Lifting and Quasifibrations
  • 29.1 Introduction
  • chapter 30 Mixed Tangentially Transitive Planes
  • 30.1 Introduction
  • chapter 31 Maximal Partial Spreads
  • 31.1 Introduction
  • chapter 32 Foulser-Johnson SL(2, g)-Theorem
  • SL(2, 32,1 Introduction.