Abstract
We introduce the notion of Frobenius-friendly categories and obtain the slash functors on these categories. Let G be a finite p-group. We give a local construction of the -stable category of a big enough Frobenius-friendly category
of
-modules: an endopermutation
-module in
gives rise, via slash functors, to a family of endopermutation
-modules, where Q runs over non-trivial subgroups of G, together with certain isomorphisms. Conversely, the data of a suitable compatible family of endopermutation
-modules
comes from an endopermutation
-module in
unique up to isomorphism in the
-stable category.
2010 Mathematics Subject Classification:
Acknowledgments
The author thanks the referee for helpful comments and suggestions which contributed to a significant improvement in the presentation of the paper.
Correction Statement
This article has been republished with minor changes. These changes do not impact the academic content of the article.