As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology. The basics of the subject are given (along with exercises) before the author discusses more specialized topics.
As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra a...
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...
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 teachi...
This text started out as a revised version of Buildings by the second-named author 53], but it has grown into a much more voluminous book. The earlier bookwasintendedtogiveashort, friendly, elementaryintroductiontothet- ory, accessibletoreaderswithaminimalbackground.Moreover, itapproached buildings from only one point of view, sometimes called the "old-fashioned" approach: A building is a simplicial complex with certain properties. The current book includes all the material of the earlier one, but we have added a lot. In particular, we have included the "modern" (or "W-metric") approach to...
This text started out as a revised version of Buildings by the second-named author 53], but it has grown into a much more voluminous book. The earlie...
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...
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 teachi...