This book is primarily designed as an introductory text for undergraduate students of civil engineering as well as those pursuing diploma courses in civil engineering and architecture. Practicing engineers and any person who has a keen interest in the construction and maintenance of his/her own building will also find the book very helpful.
Abstract: In 2000, Burger and Mozes defined the concept of a universal group acting on a tree with prescribed local actions, providing interesting examples of totally disconnected locally compact groups. In recent developments their foundational construction has been generalised in various ways: Simon Smith studied the topological properties in a more relaxed setting (where the local actions are not assumed to be transitive or of finite degree), Adrien Le Boudec introduced "almost-universal" groups (where one allows for a controlled number of singularities), and Tom De Medts, Ana Silva and Koen Struyve generalised the original notion of universal groups to the realm of right-angled buildings. We will discuss why right-angled buildings are a natural setting, try to unify these approaches, and study how the permutational properties of the local groups and the combinatorics of the diagram affect the topological properties of the resulting groups.
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