Geology of the Anlauf and Drain Quadrangles, Douglas and Lane Counties, Oregon PDF Download
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Author: Linn Hoover
Publisher:
ISBN:
Category : Geology
Languages : en
Pages : 322
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Book Description
A study of the mineral resources in tertiary and quaternary deposits in west-central Oregon.
Author: Linn Hoover
Publisher:
ISBN:
Category : Geology
Languages : en
Pages : 322
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Book Description
A study of the mineral resources in tertiary and quaternary deposits in west-central Oregon.
Author: Joseph A Thas
Publisher: World Scientific
ISBN: 9814477281
Category : Mathematics
Languages : en
Pages : 377
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Book Description
Translation generalized quadrangles play a key role in the theory of generalized quadrangles, comparable to the role of translation planes in the theory of projective and affine planes. The notion of translation generalized quadrangle is a local analogue of the more global “Moufang Condition”, a topic of great interest, also due to the classification of all Moufang polygons. Attention is thus paid to recent results in that direction, but also many of the most important results in the general theory of generalized quadrangles that appeared since 1984 are treated.Translation Generalized Quadrangles is essentially self-contained, as the reader is only expected to be familiar with some basic facts on finite generalized quadrangles. Proofs that are either too long or too technical are left out, or just sketched. The three standard works on generalized quadrangles are (co-)authored by the writers of this book: “Finite Generalized Quadrangles” (1984) by S E Payne and J A Thas, “Generalized Polygons” (1998) by H Van Maldeghem, and “Symmetry in Finite Generalized Quadrangles” (2004) by K Thas.
Author: Koen Thas
Publisher: Springer Science & Business Media
ISBN: 9783764361587
Category : Mathematics
Languages : en
Pages : 246
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Book Description
This monograph classifies finite generalized quadrangles by symmetry, generalizing the celebrated Lenz-Barlotti classification for projective planes. The book introduces combinatorial, geometrical and group-theoretical concepts that arise in the classification and in the general theory of finite generalized quadrangles, including automorphism groups, elation and translation generalized quadrangles, generalized ovals and generalized ovoids, span-symmetric generalized quadrangles, flock geometry and property (G), regularity and nets, split BN-pairs of rank 1, and the Moufang property.
Author: Stanley E. Payne
Publisher: European Mathematical Society
ISBN: 9783037190661
Category : Mathematics
Languages : en
Pages : 304
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Book Description
Generalized quadrangles (GQ) were formally introduced by J. Tits in 1959 to describe geometric properties of simple groups of Lie type of rank 2. The first edition of Finite Generalized Quadrangles (FGQ) quickly became the standard reference for finite GQ. The second edition is essentially a reprint of the first edition. It is a careful rendering into LaTeX of the original, along with an appendix that brings to the attention of the reader those major new results pertaining to GQ, especially in those areas where the authors of this work have made a contribution. The first edition has been out of print for many years. The new edition makes available again this classical reference in the rapidly increasing field of finite geometries.
Author: Koen Thas
Publisher: European Mathematical Society
ISBN: 9783037191101
Category : Abelian p-groups
Languages : en
Pages : 136
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Book Description
The notion of elation generalized quadrangle is a natural generalization to the theory of generalized quadrangles of the important notion of translation planes in the theory of projective planes. Almost any known class of finite generalized quadrangles can be constructed from a suitable class of elation quadrangles. In this book the author considers several aspects of the theory of elation generalized quadrangles. Special attention is given to local Moufang conditions on the foundational level, exploring, for instance, Knarr's question from the 1990s concerning the very notion of elation quadrangles. All the known results on Kantor's prime power conjecture for finite elation quadrangles are gathered, some of them published here for the first time. The structural theory of elation quadrangles and their groups is heavily emphasized. Other related topics, such as $p$-modular cohomology, Heisenberg groups, and existence problems for certain translation nets, are briefly touched. This book starts from scratch and is essentially self-contained. Many alternative proofs are given for known theorems. This course contains dozens of exercises at various levels, from very easy to rather difficult, and will stimulate undergraduate and graduate students to enter the fascinating and rich world of elation quadrangles. More accomplished mathematicians will find the final chapters especially challenging.
Author: Andreas E Schroth
Publisher: CRC Press
ISBN: 9780582288119
Category : Mathematics
Languages : en
Pages : 176
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Book Description
This research note presents a complete treatment of the connection between topological circle planes and topological generalized quadrangles. The author uses this connection to provide a better understanding of the relationships between different types of circle planes and to solve a topological version of the problem of Apollonius. Topological Circle Planes and Topological Quadrangles begins with a foundation in classical circle planes and the real symmetric generalized quadrangle and the connection between them. This provides a solid base from which the author offers a more generalized exploration of the topological case. He also compares this treatment to the finite case. Subsequent chapters examine Laguerre, Möbius, and Minkowski planes and their respective relationships to antiregular quadrangles. The author addresses the Lie geometry of each and discuss the relationships of circle planes-the "sisters" of Möbius, Laguerre, and Minkowski planes - and concludes by solving a topological version of the problem of Apollonius in Laguerre, Möbius, and Minkowski planes. The treatment offered in this volume offers complete coverage of the topic. The first part of the text is accessible to anyone with a background in analytic geometry, while the second part requires basic knowledge in general and algebraic topology. Researchers interested in geometry-particularly in topological geometry-will find this volume intriguing and informative. Most of the results presented are new and can be applied to various problems in the field of topological circle planes. Features
Author: Jarvis Bardwell Hadley
Publisher:
ISBN:
Category : Geology
Languages : en
Pages : 338
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Book Description
Author: Geological Survey (U.S.)
Publisher:
ISBN:
Category : Geology
Languages : en
Pages : 450
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Book Description
Author: Harry Klemic
Publisher:
ISBN:
Category : Geology
Languages : en
Pages : 86
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Book Description
Prepared in cooperation with the Wisconsin Geological and Natural History Survey.
Author: Herbert A. Hard
Publisher:
ISBN:
Category : Geology
Languages : en
Pages : 706
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Book Description
