CAT(0) HNN-extensions with non-locally connected boundary
نویسندگان
چکیده
منابع مشابه
Non-linear ascending HNN extensions of free groups
is called an ascending HNN extension of G (or the mapping torus of the endomorphism φ). In particular, the ascending HNN extensions of free groups of finite rank are simply the groups given by presentations 〈x1, ..., xn, t | txit−1 = wi, i = 1, ..., n〉, where w1, ..., wn are words generating a free subgroup of rank n. In [BS], Borisov and Sapir proved that all ascending HNN extensions of linear...
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It is shown that the existential theory of G with rational constraints, over an HNN-extension G = 〈H, t; tat = φ(a)(a ∈ A)〉 is decidable, provided that the same problem is decidable in the base group H and that A is a finite group. The positive theory of G is decidable, provided that the existential positive theory of G is decidable and that A and φ(A) are proper subgroups of the base group H w...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2001
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00169-8