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Automorphisms and Hopficity of certain Baumslag-Solitar groups

✍ Scribed by Donald J. Collins; Frank Levin


Book ID
112495722
Publisher
Springer
Year
1983
Tongue
English
Weight
813 KB
Volume
40
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES


Three-manifolds and Baumslag–Solitar gro
✍ Peter B. Shalen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 63 KB

We show that the Baumslag-Solitar relation x n = yx m y -1 cannot hold in a nondegenerate way in the fundamental group of an orientable 3-manifold. This generalizes a result proved by Jaco and Shalen for the case of a Haken manifold. The generalization uses the general version of the Torus Theorem,