On Preservation of Stability for Finite Extensions of Abelian Groups

Mathematical Logic Quarterly 40 (1):14-26 (1994)
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Abstract

We characterize preservation of superstability and ω-stability for finite extensions of abelian groups and reduce the general case to the case of p-groups. In particular we study finite extensions of divisible abelian groups. We prove that superstable abelian-by-finite groups have only finitely many conjugacy classes of Sylow p-subgroups

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10.1002/malq.19940400103

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Citations of this work

On superstable groups with residual properties.Abderezak Ould Houcine - 2007 - Mathematical Logic Quarterly 53 (1):19-26.

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Model Theory and Modules.Mike Prest - 1989 - Journal of Symbolic Logic 54 (3):1115-1118.

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