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Buildings are combinatorial constructions successfully exploited to study groups of various types. The vertex set of a building can be naturally decomposed into subsets called Grassmannians. The book contains both classical and more recent results on Grassmannians of buildings of classical types. It gives a modern interpretation of some classical results from the geometry of linear groups. The presented methods are applied to some geometric constructions non-related to buildings - Grassmannians of infinite-dimensional vector spaces and the sets of conjugate linear involutions.

The book is self-contained and the requirement for the reader is a knowledge of basic algebra and graph theory. This makes it very suitable fo

# Hardcover: 224 pages

# Publisher: World Scientific Publishing Company (August 31, 2010)

# Language: English

# ISBN-10: 981431756X

# ISBN-13: 978-9814317566

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