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Handbook of Finite Translation Planes
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"The Handbook of Finite Translation Planes" provides a comprehensive listing of all translation planes derived from a fundamental construction technique, an explanation of the classes of translation planes using both descriptions and construction methods, and thorough sketches of the major relevant theorems. From the methods of Andr to coordinate and linear algebra, the book unifies the numerous diverse approaches for analyzing finite translation planes. It pays particular attention to the processes that are used to study translation planes, including ovoid and Klein quadric projection, multiple derivation, hyper-regulus replacement, subregular lifting, conical distortion, and Hermitian sequences. In addition, the book demonstrates how the collineation group can affect the structure of the plane and what information can be obtained by imposing group theoretic conditions on the plane. The authors also examine semifield and division ring planes and introduce the geometries of two-dimensional translation planes.
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Taylor & Francis; February 2007
884 pages; ISBN 9781420011142
Read online, or download in secure PDF format
884 pages; ISBN 9781420011142
Read online, or download in secure PDF format
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1420011146
9781420011142
9781584886051