Benson, DavidGreenlees, John2023-06-222023-06-222023-08-01Benson, D & Greenlees, J 2023, 'The Singularity and Cosingularity Categories of C ∗ B G for Groups with Cyclic Sylow p-subgroups', Algebras and Representation Theory, vol. 26, no. 4, pp. 1181-1216. https://doi.org/10.1007/s10468-022-10129-21386-923Xhttps://hdl.handle.net/2164/20959Open Access via the Springer Compact Agreement. The authors are grateful to the Engineering and Physical Sciences Research Council (EPSRC): the second author is supported by grant EP/P031080/1, which also enabled the first author to visit Warwick. The authors would also like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for providing an opportunity to work on this project during the simultaneous programmes ‘K-theory, algebraic cycles and motivic homotopy theory’ and ‘Groups, representations and applications: new perspectives’ supported by EPSRC grant EP/R014604/1 (one author was supported by each programme). The authors are also grateful to Bernhard Keller and Greg Stevenson for conversations related to this work.36810485engA∞ algebrasAuslander–Reiten quiverAuslander–Reiten trianglesBrauer treesCyclic Sylow subgroupsCohomology of groupsCosingularity categoriesDerived categoriesDG Hopf algebrasHecke algebrasHochschild cohomologyLoop spacesMassey productsp-completed classifying spaces ·Singularity categoriesSpectral sequencesQA MathematicsEngineering and Physical Sciences Research Council (EPSRC)EP/P031080/1EP/R014604/1QAJournal article10.1007/s10468-022-10129-2264