Representation type of finite rank almost completely decomposable groups

1998 ◽  
Vol 10 (6) ◽  
Author(s):  
David Arnold ◽  
Manfred Dugas
Keyword(s):  
Finite Rank ◽  
Representation Type ◽  
Decomposable Groups

THE CLASS OF (2, 2)-GROUPS WITH HOMOCYCLIC REGULATOR QUOTIENT OF EXPONENT  HAS BOUNDED REPRESENTATION TYPE

2014 ◽  
Vol 99 (1) ◽  
pp. 12-29
Author(s):  
DAVID M. ARNOLD ◽  
ADOLF MADER ◽  
OTTO MUTZBAUER ◽  
EBRU SOLAK
Keyword(s):  
Representation Type ◽  
Bounded Representation ◽  
Decomposable Groups

The class of almost completely decomposable groups with a critical typeset of type$(2,2)$and a homocyclic regulator quotient of exponent $p^{3}$is shown to be of bounded representation type. There are only$16$isomorphism at$p$types of indecomposables, all of rank $8$or lower.

scholarly journals Almost completely decomposable groups and unbounded representation type

2012 ◽  
Vol 349 (1) ◽  
pp. 50-62 ◽  
Author(s):  
David M. Arnold ◽  
Adolf Mader ◽  
Otto Mutzbauer ◽  
Ebru Solak
Keyword(s):  
Representation Type ◽  
Decomposable Groups

scholarly journals Regulating hulls of almost completely decomposable groups

1993 ◽  
Vol 54 (2) ◽  
pp. 143-155 ◽  
Author(s):  
A. Mader ◽  
C. Vinsonhaler
Keyword(s):  
Finite Index ◽  
Finite Rank ◽  
Abelian Groups ◽  
Additive Group ◽  
Rational Numbers ◽  
Direct Sum ◽  
Free Abelian Groups ◽  
Decomposable Groups ◽  
The Relationship ◽  
Torsion Free

AbstractThis note investigates torsion-free abelian groups G of finite rank which embed, as subgroups of finite index, in a finite direct sum C of subgroups of the additive group of rational numbers. Specifically, we examine the relationship between G and C when the index of G in C is minimal. Some properties of Warfield duality are developed and used (in the case that G is locally free) to relate our results to earlier ones by Burkhardt and Lady.

scholarly journals Representation Type of Posets and Finite Rank Butler Groups

1998 ◽  
Vol 74 (2) ◽  
pp. 299-320 ◽  
Author(s):  
D. Arnold ◽  
M. Dugas
Keyword(s):  
Finite Rank ◽  
Representation Type
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