Dead end words in lamplighter groups and other wreath products
نویسندگان
چکیده
منابع مشابه
Dead End Words in Lamplighter Groups and Other Wreath Products Sean Cleary and 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 respect to their natural generating sets. An element w in a group G with finite generating set X is a dead end element if no geodesic ray from the identity to w in the Cayley graph Γ(G, X) can be extended past w. Add...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2005
ISSN: 1464-3847,0033-5606
DOI: 10.1093/qmath/hah030