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**publisher and metadata sources**).One of the key problems in the representation theory of finite groups is to represent a given finite group G in a suitable way. To do so, invariants which classify G up to isomorphisms are… Continue Reading

We begin a study of m-th Chern classes and m-th characteristic symbols for Iwasawa modules which are supported in codimension at least m. This extends the classical theory of characteristic ideals… Continue Reading

We generalize the deformation theory of representations of profinite groups developed by Mazur and Schlessinger to complexes of modules for such groups. As an example, we determine the universal… Continue Reading

Let k be an algebraically closed field of characteristic 2, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group and B is a block of kG with a dihedral defect group D… Continue Reading

We determine the universal deformation ring R(G, V) of certain mod 2 representations V of a finite group G whose Sylow 2-subgroups are isomorphic to a generalized quaternion group D. We show that for… Continue Reading

In this paper, the universal deformation rings of certain modular representations of a finite group are determined. The representations under consideration are those which are associated to blocks… Continue Reading

We develop two approaches to obstruction theory for deformations of derived isomorphism classes of complexes $Z^\bullet$ of modules for a profinite group $G$ over a complete local Noetherian ring $A$… Continue Reading

Let k be an algebraically closed field of characteristic 2, and let W be the ring of infinite Witt vectors over k. Let S4 denote the symmetric group on 4 letters. We determine the universal… Continue Reading

Abstract. In this paper we determine the universal deformation rings of certain modular representations of finite groups which belong to cyclic blocks. The representations we consider are those for… Continue Reading