An application of Baumslag-Solitar non-Hopfian groups to finitary automorphisms
نویسندگان
چکیده
منابع مشابه
Triangles of Baumslag-solitar Groups
Our main result is that many triangles of BaumslagSolitar groups collapse to finite groups, generalizing a famous example of Hirsch and other examples due to several authors. A triangle of Baumslag-Solitar groups means a group with three generators, cyclically ordered, with each generator conjugating some power of the previous one to another power. There are six parameters, occurring in pairs, ...
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We compute estimates for the word metric of Baumslag–Solitar groups in terms of the Britton’s lemma normal form. As a corollary, we find lower bounds for the growth rate for the groups BS(p, q), with 1 < p ≤ q.
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We study the structure of generalized Baumslag–Solitar groups from the point of view of their (usually non-unique) splittings as fundamental groups of graphs of infinite cyclic groups. We find and characterize certain decompositions of smallest complexity (fully reduced decompositions) and give a simplified proof of the existence of deformations. We also prove a finiteness theorem and solve the...
متن کاملTiling Problems on Baumslag-Solitar groups
Wang tilings are colorings of the Euclidean plane that respect some local constraints. They can be viewed both as dynamical systems and computational models, but they were first introduced by Hao Wang to study decision problems on some classes of logical formulas [18]. The concept of Wang tiles may be generalized to define tilings on the Cayley graph of a finitely generated group. The domino pr...
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We introduce the peak normal form for elements of the BaumslagSolitar groups BS(p, q). This normal form is very close to the lengthlexicographical normal form, but more symmetric. Both normal forms are geodesic. This means the normal form of an element uv yields the shortest path between u and v in the Cayley graph. The main result of this paper is that we can compute the peak normal form in po...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1988
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1988-0931725-1