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Decompositions of local rigid ACD groups

Adolf Mader, Otto 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.

Direct decompositions of uniform groups

A. Mader, O. Mutzbauer (2001)

Colloquium Mathematicae

Uniform groups are extensions of rigid completely decomposable groups by a finite direct sum of cyclic primary groups all of the same order. The direct decompositions of uniform groups are completely determined by an algorithm that is realised by a MAPLE procedure.

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