Add to ORKGWe 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 pi and integral closure T in L. We compute the colength of T oG in a maximal order in LoG. Moreover, if S/piS is finite, we compute the S/piS-dimension of the center of T o G/Jac(T o G). If this quotient is split semisimple, this yields
The main purpose of this note is to provide a splitting field for a twisted group algebra of a finit...
summary:Let $(K,\nu)$ be a valued field, where $\nu$ is a rank one discrete valuation. Let $R$ be it...
Let G be a finite group acting on a polynomial ring A over the field K and let AG denote the corresp...
AbstractLet F be a field and let p be a prime. The problem we study is whether the center, Cp, of th...
Vasiu A, Zink T. Boundedness results for finite flat group schemes over discrete valuation rings of ...
AbstractLet R be a local (commutative) ring and let p be a prime not invertible in R. Let G be a fin...
AbstractThe purpose of this paper is to examine locally the representation type of twisted group rin...
summary:Let $G$ be an abelian group, $R$ a commutative ring of prime characteristic $p$ with iden...
AbstractIn this paper, we consider weak crossed product orders Af=∑Sxσ with coefficients in the inte...
Given a Hilbertian field k and a finite set S of Krull valuations of k, we show that every finite sp...
Given a Hilbertian field k and a finite set S of Krull valuations of k, we show that every finite sp...
AbstractThe purpose of this paper is to examine locally the representation type of twisted group rin...
This thesis examines valued modules over twisted polynomial rings of the form R = K[t,φ] where φ is ...
This thesis examines valued modules over twisted polynomial rings of the form R = K[t,φ] where φ is ...
AbstractUsing the methods described in the papers (Documenta Math. 5 (2000) 657; Local Leopoldt's pr...
The main purpose of this note is to provide a splitting field for a twisted group algebra of a finit...
summary:Let $(K,\nu)$ be a valued field, where $\nu$ is a rank one discrete valuation. Let $R$ be it...
Let G be a finite group acting on a polynomial ring A over the field K and let AG denote the corresp...
AbstractLet F be a field and let p be a prime. The problem we study is whether the center, Cp, of th...
Vasiu A, Zink T. Boundedness results for finite flat group schemes over discrete valuation rings of ...
AbstractLet R be a local (commutative) ring and let p be a prime not invertible in R. Let G be a fin...
AbstractThe purpose of this paper is to examine locally the representation type of twisted group rin...
summary:Let $G$ be an abelian group, $R$ a commutative ring of prime characteristic $p$ with iden...
AbstractIn this paper, we consider weak crossed product orders Af=∑Sxσ with coefficients in the inte...
Given a Hilbertian field k and a finite set S of Krull valuations of k, we show that every finite sp...
Given a Hilbertian field k and a finite set S of Krull valuations of k, we show that every finite sp...
AbstractThe purpose of this paper is to examine locally the representation type of twisted group rin...
This thesis examines valued modules over twisted polynomial rings of the form R = K[t,φ] where φ is ...
This thesis examines valued modules over twisted polynomial rings of the form R = K[t,φ] where φ is ...
AbstractUsing the methods described in the papers (Documenta Math. 5 (2000) 657; Local Leopoldt's pr...
The main purpose of this note is to provide a splitting field for a twisted group algebra of a finit...
summary:Let $(K,\nu)$ be a valued field, where $\nu$ is a rank one discrete valuation. Let $R$ be it...
Let G be a finite group acting on a polynomial ring A over the field K and let AG denote the corresp...