20 citations · 75 across the 28 of their papers we have counts for
Showing 2003 · math.GRShow all
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math.GR2003
Metric properties of the lamplighter group as an automata group
Sean Cleary, Jennifer Taback
We examine the geometry of the Cayley graph of the lamplighter group with respect to the generating set rising from its interpretation as an automata group due to Grigorchuk and Zu…
math.GR2003★ 3 cited
Seesaw words in Thompson's group F
Sean Cleary, Jennifer Taback
We describe a family of words in Thompson's group F which present a challenge to the question of finding canonical minimal length representatives, and which show that F is not comb…
math.GR2003
Dead end words in lamplighter groups and other wreath products
Sean Cleary, Jennifer Taback
We explore the geometry of the Cayley graphs of the lamplighter groups and a wide range of wreath products. We show that these groups have dead end elements of arbitrary depth with…