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Representation type of finite rank almost completely decomposable groups
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David Arnold
Published/Copyright:
March 11, 2008
Abstract
An almost completely decomposable (acd) group is afiniterank torsion-free abelian group containing a finite direct sum of rank-1 groups as a subgroup of finite index. This paper is devoted to a determination of the representation type of indecomposables in categories of acd groups. In the process, representation types of categories of related representations of finite partially ordered sets (posets) over the rings Z/pjZ and Zp, the localization of the integers Z at a prime p, are also determined.
Received: 1997-01-29
Revised: 1997-05-20
Accepted: 1997-07-03
Published Online: 2008-03-11
Published in Print: 1998-11-01
© Walter de Gruyter
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Articles in the same Issue
- Trace formulae, Zeta functions, congruences and Reidemeister torsion in Nielsen theory
- Asymptotic estimates for best and stepwise approximation of convex bodies IV
- Partly divisible probability distributions
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- Representation type of finite rank almost completely decomposable groups
- Collineations of smooth stable planes
