Coxeter Groups

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    As this book has shown so far, in geometric group theory we study groups and geometric spaces simultaneously, linking them via group actions. Sometimes we start with a family of spaces, and we try to find groups that act on the spaces in a prescribed way. Other times we start with a family of groups, and we try to find spaces on which they act in a prescribed way. Here, I tell a story that follows first one of these approaches, and then the other. We shall see that one way to find a space on which a group acts is to build a space, readymade for the purpose, using combinatorics from the group.
    Original languageEnglish
    Title of host publicationOffice Hours with a Geometric Group Theorist
    EditorsMatt Clay, Dan Margalit
    Place of PublicationUS
    PublisherPrinceton University Press
    ISBN (Print)978-0691158662
    Publication statusPublished - 2017


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