Twisted group rings which are semi-prime Goldie rings
نویسندگان
چکیده
منابع مشابه
Twisted 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 ...
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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...
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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...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1975
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500002433