S. V. Vershina, “Indecomposable <nobr>$p$</nobr>-local torsion-free groups with quadratic and cubic splitting fields”, Fundam. Prikl. Mat., 2015, Volume 20, Issue 5,Pages <nobr>17

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Indecomposable $p$-local torsion-free groups with quadratic and cubic splitting fields

S. V. Vershina

Moscow State Pedagogical University

Abstract: Indecomposable torsion-free $p$-local Abelian groups of finite rank with quadratic and cubic splitting field $K$ are characterized. As a consequence, for groups with quadratic splitting field $K$ it is proved that $K$-decomposable $p$-local torsion-free Abelian groups of finite rank are isomorphic if and only if their endomorphism rings are isomorphic.

UDC: 512.541