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Totally projective unit groups in modular abelian group algebras
Published/Copyright:
August 14, 2006
Abstract
Let p be a prime, R a commutative ring of characteristic p, G a p-primary abelian group, and V(RG) the group of normalized units in the group algebra RG. It is largely determined when V(RG) is totally projective. This generalizes the well-known special case when R is a perfect field. Moreover, the current proof has the advantage of greater clarity.
Received: 2004-07-06
Published Online: 2006-08-14
Published in Print: 2006-07-01
© Walter de Gruyter
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Articles in the same Issue
- Optimal Sobolev imbeddings
- On spectral gaps and exit time distributions for a non-smooth domain
- Sums of three squares over imaginary quadratic fields
- Totally projective unit groups in modular abelian group algebras
- Wellposedness and asymptotic behaviour of non-autonomous boundary Cauchy problems
- On large deviations for random currents induced from stochastic line integrals
- A bound for the 3-part of class numbers of quadratic fields by means of the square sieve
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