On the WGSC property in some classes of groups.

DOI10.1007/s00009-009-0021-8zbMath1204.20046OpenAlexW1987686739MaRDI QIDQ844004

Francesco G. Russo, Daniele Ettore Otera

Publication date: 18 January 2010

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-009-0021-8

zbMATH Keywords

coherent groupsfundamental groupsuniversal coveringsfinitely presented groupssolvable groupsconnected groupsgeneralized FC-groupsweak geometric simple connectivity

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) FC-groups and their generalizations (20F24)

Related Items (7)

Topological tameness conditions of spaces and groups: results and developments ⋮ On topological filtrations of groups ⋮ On \(3\)-dimensional WGSC inverse-representations of groups ⋮ Tame combings and easy groups ⋮ A survey on just-non-\(\mathfrak X\) groups. ⋮ On Poénaru’s inverse-representations ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups

Cites Work

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• Non-compact 3-manifolds and the missing-boundary problem
• The QSF property for groups and spaces
• On detecting Euclidean space homotopically among topological manifolds
• Group extensions are quasi-simply-filtrated
• Tame Combings of Groups

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