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Decompositions of local rigid ACD groups

Adolf MaderOtto Mutzbauer — 2001

Colloquium Mathematicae

We study direct decompositions of extensions of rigid completely decomposable groups by finite primary groups. These decompositions are unique and can be found by finite procedures. By passing to certain quotients the determination of the direct decompositions is made more efficient.

Indecomposable (1,3)-groups and a matrix problem

David M. ArnoldAdolf MaderOtto MutzbauerEbru Solak — 2013

Czechoslovak Mathematical Journal

Almost completely decomposable groups with a critical typeset of type ( 1 , 3 ) and a p -primary regulator quotient are studied. It is shown that there are, depending on the exponent of the regulator quotient p k , either no indecomposables if k 2 ; only six near isomorphism types of indecomposables if k = 3 ; and indecomposables of arbitrary large rank if k 4 .

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