Cayley Graphs and Thompson's Group

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Cayley Graphs and Thompson's Group

Cayley Graphs and Thompson's Group

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Another Infinite <strong>Group</strong><br />

Here’s the <strong>Cayley</strong> graph of a reflection group:<br />

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Another Infinite <strong>Group</strong> Here’s the <strong>Cayley</strong> graph of a reflection group: 6

Geometric Questions Many questions are framed in terms of “balls” <strong>and</strong> “spheres” in the <strong>Cayley</strong> graph. 7

Page 1 and 2: Cayley Graphs and Thompson’s Grou
Page 3 and 4: Dihedral Groups Dihedral groups are
Page 5: Infinite Groups While the main ques
Page 9 and 10: Thompson’s Group Thompson’s gro
Page 11: Strange Facts ... So F ⊕ F < F !