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Buildings : Springer Monographs in Mathematics - Kenneth S. Brown


Springer Monographs in Mathematics

Hardcover Published: 2nd September 1998
ISBN: 9780387986241
Number Of Pages: 215

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For years I have heard about buildings and their applications to group theory. I finally decided to try to learn something about the subject by teaching a graduate course on it at Cornell University in Spring 1987. This book is based on the not es from that course. The course started from scratch and proceeded at a leisurely pace. The book therefore does not get very far. Indeed, the definition of the term "building" doesn't even appear until Chapter IV. My hope, however, is that the book gets far enough to enable the reader to tadle the literat ure on buildings, some of which can seem very forbidding. Most of the results in this book are due to J. Tits, who originated the theĀ­ ory of buildings. The main exceptions are Chapter I (which presents some classical material), Chapter VI (which prcsents joint work of F. Bruhat and Tits), and Chapter VII (which surveys some applications, due to varĀ­ ious people). It has been a pleasure studying Tits's work; I only hope my exposition does it justice.

Finite Reflection Groupsp. 1
Abstract Reflection Groupsp. 33
Coxeter Complexesp. 58
Buildingsp. 76
Buildings and Groupsp. 99
Euclidean Buildingsp. 139
Applications to Group Cohomologyp. 183
Suggestions for Further Readingp. 206
Referencesp. 207
Notation Indexp. 211
Subject Indexp. 213
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387986241
ISBN-10: 0387986243
Series: Springer Monographs in Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 215
Published: 2nd September 1998
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 1.42
Weight (kg): 0.5
Edition Number: 2
Edition Type: Revised

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