• Corpus ID: 235187271

Free incomplete Tambara functors are almost never flat

  title={Free incomplete Tambara functors are almost never flat},
  author={Michael A. Hill and David Mehrle and J. D. Quigley},
Free algebras are always free as modules over the base ring in classical algebra. In equivariant algebra, free incomplete Tambara functors play the role of free algebras and Mackey functors play the role of modules. Surprisingly, free incomplete Tambara functors often fail to be free as Mackey functors. In this paper, we determine for all finite groups conditions under which a free incomplete Tambara functor is free as a Mackey functor. For solvable groups, we show that a free incomplete… 

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