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

Arnold, David M. ; Mader, Adolf ; Mutzbauer, Otto ; Solak, Ebru

Czechoslovak Mathematical Journal, Tome 63 (2013) no. 2, pp. 307-355

Abstract (VO)

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 $k\leq 2$; only six near isomorphism types of indecomposables if $k=3$; and indecomposables of arbitrary large rank if $k\geq 4$.

Détail

DOI : 10.1007/s10587-013-0020-6

Classification : 15A21, 16G20, 20K15, 20K25, 20K35
Keywords: almost completely decomposable group; indecomposable; representation

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