Grothendieck and Witt Groups of Orders and Finite Groups.
Grothendieck bialgebras, partition lattices, and symmetric functions in noncommutative variables.
Grothendieck group for the stable category of symmetric special biserial algebras.
Grothendieck groups of invariant ring: linear actions of finite groups.
Grothendieck ring of quantum double of finite groups
Let be a group algebra, and its quantum double. We first prove that the structure of the Grothendieck ring of can be induced from the Grothendieck ring of centralizers of representatives of conjugate classes of . As a special case, we then give an application to the group algebra , where is a field of characteristic and is a dihedral group of order .
Group algebras of abelian groups
Group Algebras of Finite Representation Type.
Group algebras of polynomial growth.
Group algebras whose groups of normalized units have exponent 4
We give a full description of locally finite -groups such that the normalized group of units of the group algebra over a field of characteristic has exponent .
Group algebras with centrally metabelian unit groups.
Given a field K of characteristic p > 2 and a finite group G, necessary and sufficient conditions for the unit group U(KG) of the group algebra KG to be centrally metabelian are obtained. It is observed that U(KG) is centrally metabelian if and only if KG is Lie centrally metabelian.
Group graded rings and smash products
Group laws and rings with normal bases.
Group representations without groups.
Group rings and irreducible representations of space groups.
Group rings, Hecke orders, quasi-hereditary orders, cellular orders and deformations.
Group Rings of Circle and Unit Groups.
Group Rings of Finite Representation Type.
Group Rings of Hypercyclic Groups.
Group Rings of Wild Representation Type
Group Rings Whose Units Form an FC-Group.