Automorphisms of relatively hyperbolic groups and the Farrell–Jones conjecture
Naomi Andrew, Yassine Guerch, Sam Hughes · 2026
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Description
Naomi Andrew, Yassine Guerch, and Sam Hughes published a mathematics paper in 2026 on the Farrell-Jones conjecture, a major open claim in algebra and shape theory. The claim gives a way to compute hard algebraic measures for groups, which are sets with a rule for combining items. Their work covers groups built by suspending certain curved groups.
The authors prove the claim, in three forms of the theory, for a large class of these suspended groups. That includes all suspensions of one-ended hyperbolic groups, whose geometry curves outward. Two further results follow for symmetry groups of such groups and for groups built as extensions. Along the way, they prove new facts about splitting these groups into simpler pieces.
Catalog record
| CREATOR | Naomi Andrew, Yassine Guerch, Sam Hughes |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 107211 |
| LICENSE | https://creativecommons.org/licenses/by/4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |