Using Subnormality to Show the Simple Connectivity at Infinity of a Finitely Presented Group

DOI10.2307/2001761zbMath0708.20009OpenAlexW4238676987MaRDI QIDQ3490183

Joseph S. Profio

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001761

zbMATH Keywords

simply connected at infinityfundamental groupuniversal coverfinitely presented groupCW-complexinfinite finitely presented normal subgroup

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Chains and lattices of subgroups, subnormal subgroups (20E15) Homotopy theory (55P99) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

Semistability at infinity, simple connectivity at infinity and normal subgroups, Weak \(\mathcal{Z}\)-structures for some classes of groups, Commensurated subgroups, semistability and simple connectivity at infinity, Empty components in strong shape theory, Group extensions and tame pairs, Connectivity at infinity for right angled Artin groups

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