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The Roquette category of finite $p$ -groups

Serge Bouc — 2015

Journal of the European Mathematical Society

Let $p$ be a prime number. This paper introduces the Roquette category $ℛ_{p}$ of finite $p$ -groups, which is an additive tensor category containing all finite $p$ -groups among its objects. In $ℛ_{p}$ , every finite $p$ -group $P$ admits a canonical direct summand $\partial P$ , called the edge of $P$ . Moreover $P$ splits uniquely as a direct sum of edges of Roquette $p$ -groups, and the tensor structure of $ℛ_{p}$ can be described in terms of such edges. The main motivation for considering this category is that the additive functors from $ℛ_{p}$ to...

Green functors, crossed $G$ -monoids, and Hochschild constructions.

Bouc, Serge — 2002

AMA. Algebra Montpellier Announcements [electronic only]

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The Roquette category of finite p -groups

Green functors, crossed G -monoids, and Hochschild constructions.

The Roquette category of finite $p$ -groups

Green functors, crossed $G$ -monoids, and Hochschild constructions.