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Grothendieck and Witt Groups of Orders and Finite Groups.

Winfried Scharlau, Anthony Bak (1974)

Inventiones mathematicae

Grothendieck group for the stable category of symmetric special biserial algebras.

Antipov, M.A. (2005)

Zapiski Nauchnykh Seminarov POMI

Grothendieck groups of invariant ring: linear actions of finite groups.

Martin Lorenz, Kennth A. Brown (1996)

Mathematische Zeitschrift

Grothendieck ring of quantum double of finite groups

Jingcheng Dong (2010)

Czechoslovak Mathematical Journal

Let $k G$ be a group algebra, and $D (k G)$ its quantum double. We first prove that the structure of the Grothendieck ring of $D (k G)$ can be induced from the Grothendieck ring of centralizers of representatives of conjugate classes of $G$ . As a special case, we then give an application to the group algebra $k D_{n}$ , where $k$ is a field of characteristic $2$ and $D_{n}$ is a dihedral group of order $2 n$ .

Groupe des classes de l'algèbre d'un groupe métacyclique.

Philippe CASSOU-NOGUÈS (1974/1975)

Seminaire de Théorie des Nombres de Bordeaux

Groupes de Whitehead de groupes algébriques simples sur un corps

Jacques Tits (1976/1977)

Séminaire Bourbaki