Free Incomplete Tambara Functors are Almost Never Flat

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چکیده

Abstract Free algebras are always free as modules over the base ring in classical algebra. In equivariant algebra, incomplete Tambara functors play role of and Mackey modules. Surprisingly, often fail to be functors. this paper, we determine for all finite groups conditions under which a functor is functor. For solvable groups, show that flat precisely when these hold. Our results imply almost never However, after suitable localizations,

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2022

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab361