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Indecomposable (1,3)-Groups and a matrix problem |
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| Authors: | David M Arnold Adolf Mader Otto Mutzbauer Ebru Solak |
| Institution: | 1. Dept. of Math., Baylor University, Waco, Texas, 76798-7328, USA 2. Dept. of Math., University of Hawaii, 2565 McCarthy Mall, Honolulu, Hawaii, 96822, USA 3. Math. Inst., Am Hubland, University Würzburg, 97074, Würzburg, Germany 4. Dept. of Math., Middle East Technical University, In?nü Bulvar?, 06531, Ankara, Turkey |
| Abstract: | 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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