Twisted group rings of strongly unbounded representation type
نویسندگان
چکیده
منابع مشابه
Twisted Representation Rings and Dirac Induction
Extending ideas of twisted equivariant K-theory, we construct twisted versions of the representation rings for Lie superalgebras and Lie supergroups, built from projective Z2-graded representations with a given cocycle. We then investigate the pullback and pushforward maps on these representation rings (and their completions) associated to homomorphisms of Lie superalgebras and Lie supergroups....
متن کاملTwisted Group Rings of Metacyclic Groups
Given a finite metacyclic group G, a central extension F having the projective lifting property over all fields is constructed. This extension and its group rings are used to investigate the faithful irreducible projective representations of G and the fields over which they can be realized. A full description of the finite metacyclic groups having central simple twisted group rings over fields ...
متن کاملOn representations of twisted group rings
We generalize certain parts of the theory of group rings to the twisted case. Let G be a finite group acting (possibly trivially) on a field L of characteristic coprime to the order of the kernel of this operation. Let K ⊆ L be the fixed field of this operation, let S be a discrete valuation ring with field of fractions K, maximal ideal generated by π and integral closure T in L. We compute the...
متن کاملStructure of Normal Twisted Group Rings
Let KλG be the twisted group ring of a group G over a commutative ring K with 1, and let λ be a factor set (2-cocycle) of G over K. Suppose f : G → U(K) is a map from G onto the group of units U(K) of the ring K satisfying f(1) = 1. If x = P g∈G αgug ∈ KλG then we denote P g∈G αgf(g)u −1 g by x f and assume that the map x → x is an involution of KλG. In this paper we describe those groups G and...
متن کاملTwisted Group Rings Whose Units Form an Fc-group
Let U(KλG) be the group of units of an infinite twisted group algebra KλG over a field K. We describe the maximal FC-subgroup of U(KλG) and give a characterization of U(KλG) with finitely conjugacy classes. In the case of group algebras we obtain the Cliff-Sehgal-Zassenhaus’ theorem.
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2004
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm100-2-8