Abstract
A fundamental question of geometric group theory is how groups can be viewed as geometric objects; one way to view a (finitely generated) group as a geometric object is via Cayley graphs:
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As the first step, one associates a combinatorial structure to a group and a given generating set: the corresponding Cayley graph. This step already has a rudimentary geometric avour and is discussed in this chapter.
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As the second step, one adds a metric structure to Cayley graphs via word metrics. We will study this step in Chapter 5.
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Löh, C. (2017). Cayley graphs. In: Geometric Group Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-72254-2_3
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DOI: https://doi.org/10.1007/978-3-319-72254-2_3
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-72254-2
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