Let be a finite group with cyclic Sylow -subgroups, and let be a field of characteristic. Then and are algebras whose structure we determine up to quasi-isomorphism.
Bibliographical noteFunding Information:
The authors are grateful to EPSRC: the second author is supported by 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 ‘-theory, algebraic cycles and motivic homotopy theory’ and ‘Groups, representations and applications: new perspectives’ (one author was supported by each programme).
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- cyclic Sylow subgroups
- cohomology of groups
- p-completed classifying space
- loop spaces
- Massey products
- A algebras