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math.GR2026
Local-to-global fixed point properties for graphical C(4)-T(4) and C(6) small cancellation complexes
Karol Duda, Huaitao Gui
Graphical small cancellation extends the classical small cancellation theory and provides a powerful method for constructing groups with prescribed subgraphs in their Cayley graphs…
math.GR2026
The small cancellation flat torus theorem
Karol Duda
We establish Flat Torus Theorem type results for groups acting on small cancellation complexes satisfying C(6), C(4)-T(4) and C(3)-T(6) conditions. For C(3)-T(6) complexes the resu…