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Q-clan geometries in characteristic 2 by Ilaria Cardinali

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Published by Birkhäuser in Basel, Boston .
Written in English

Subjects:

  • Finite generalized quadrangles,
  • Automorphisms

Book details:

Edition Notes

Includes bibliographical references (p. [159]-164) and index.

StatementIlaria Cardinali, Stanley E. Payne.
SeriesFrontiers in mathematics
ContributionsPayne, S. E.
Classifications
LC ClassificationsQA167.2 .C37 2007
The Physical Object
Paginationxiv, 166 p. :
Number of Pages166
ID Numbers
Open LibraryOL17047718M
ISBN 103764385073
ISBN 109783764385071
LC Control Number2007929014

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A q-clan with q a power of 2 is equivalent to a certain generalized quadrangle with a family of subquadrangles each associated with an oval in the Desarguesian plane of order 2. It is also equivalent to a flock of a quadratic cone, and hence to a line-spread of 3-dimensional projective space and. About this book Introduction This monograph offers the only comprehensive, coherent treatment of the theory - in characteristic 2 - of the so-called flock quadrangles, i.e., those generalized quadrangles (GQ) that arise from q-clans, along with their associated ovals. Summary: "This monograph offers the only comprehensive, coherent treatment of the theory - in characteristic 2 - of the so-called flock quadrangles, i, e., those generalized quadrangles (GQ) that arise from q-clans, along with their associated ovals. This book offers a complete proof of the Fundamental Theorem of q-Clan Geometry, followed by a detailed study of the known examples. It completely works out the collineation groups of the associated generalized quadrangles and the stabilizers of their associated ovals.

q-Clan Geometries in Characteristic 2 (Frontiers in Mathematics) by Ilaria; Payne, Stanley E Cardinali ISBN ISBN Paperback; . q-Clan Geometries in Characteristic 2 Offers a complete proof of the Fundamental Theorem of q-Clan Geometry, followed by a detailed study of the known examples. This title completely works out the collineation groups of the associated generalized quadrangles and the stabilizers of . q-Clan Geometries in Characteristic 2. q-Clan Geometries in Characteristic 2 pp Chapter. Downloads; Part of the Frontiers in Mathematics book series (FM) Abstract. Let q = 2 e, F = GF q-Clans and Their Geometries. In: q-Clan Geometries in Characteristic 2. Frontiers in Mathematics. Birkhäuser Basel. Starting with a natural definition of equivalence for q-clans, the Fundamental Theorem of q-clan geometry (F.T.) interprets the equivalence of q-clans C 1 and C 2 as an isomorphism between G(C 1.

Home» MAA Publications» MAA Reviews» q-Clan Geometries in Characteristic 2. q-Clan Geometries in Characteristic 2. Ilaria Cardinali and Stanley E. Payne. Publisher: Biskhäuser. Publication Date: Number of Pages: Category: Monograph. MAA Review; Table of Contents; We do not plan to review this book. Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link)Author: Ilaria Cardinali and Stanley E Payne. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry. (), 'A unified construction of finite geometries associated with q-clans in characteristic 2 Isomorphisms between Subiaco q-clan Cited by: A similar analysis can be applied to determine the sensitivity to noise for other power delivery topologies, which depends upon the geometric characteristics of these networks. The sensitivity to induced noise is described in [] for different power delivery network topologies, assuming an interdigitated power delivery network with either a paired type-I or a paired type-II topology.