Erratum to ``A finitely presented group with unbounded dead-end depth''
نویسندگان
چکیده
منابع مشابه
Ju n 20 04 A finitely presented group with infinite dead end depth
The dead end depth of an element g of a group G with finite generating set A is the distance from g to the complement of the radius dA(1, g) closed ball, in the word metric dA defined with respect to A. We say that G has infinite dead end depth when dead end depth is unbounded, ranging over G. We exhibit a finitely presented group G with a finite generating set, with respect to which G has infi...
متن کاملThe Unbounded Dead-end Depth Property Is not a Group Invariant
The dead-end depth of an element g of a group with finite generating set A is the distance from g to the complement of the radius dA(1, g) closed ball, in the word metric dA. We exhibit a finitely presented group K with two finite generating sets A and B such that dead-end depth is unbounded on K with respect to A but is bounded above by three with respect to B.
متن کاملA pr 2 00 5 The unbounded dead - end depth property is not a group invariant Tim
The dead-end depth of an element g of a group with finite generating set A is the distance from g to the complement of the radius dA(1, g) closed ball, in the word metric dA. We exhibit a finitely presented group K with two finite generating sets A and B such that dead-end depth is unbounded on K with respect to A but is at most two with respect to B. 2000 Mathematics Subject Classification: 20F65
متن کاملA Finitely Presented Torsion-free Simple Group
We construct a finitely presented torsion-free simple group Σ0, acting cocompactly on a product of two regular trees. An infinite family of such groups has been introduced by Burger-Mozes ([2, 4]). We refine their methods and get Σ0 as an index 4 subgroup of a group Σ < Aut(T12)×Aut(T8) presented by 10 generators and 24 short relations. For comparison, the smallest virtually simple group of [4,...
متن کاملOn the Dead End Depth of Thompson’s Group F
Thompson’s group F was introduced by Richard Thompson in the 1960’s and has since found applications in many areas of mathematics including algebra, logic and topology. We focus on the dead end depth of F , which is the minimal integer N such that for any group element, g, there is guaranteed to exist a path of length at most N in the Cayley graph of F leading from g to a point farther from the...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2008
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-08-09212-5