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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...

The universal functorial Lefschetz invariant

Wolfgang Lück (1999)

Fundamenta Mathematicae

We introduce the universal functorial Lefschetz invariant for endomorphisms of finite CW-complexes in terms of Grothendieck groups of endomorphisms of finitely generated free modules. It encompasses invariants like Lefschetz number, its generalization to the Lefschetz invariant, Nielsen number and $L^{2}$ -torsion of mapping tori. We examine its behaviour under fibrations.

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Tamagawa numbers for motives with (non-commutative) coefficients.

Tensor product of endo-permutation modules.

The Artin exponent of finite groups

The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties

The Roquette category of finite p -groups

The universal functorial Lefschetz invariant

Currently displaying 1 – 6 of 6

The Roquette category of finite $p$ -groups