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Extension Preservation Theorems on Classes of Acyclic Finite Structures

✍ Scribed by Duris, David


Book ID
118181078
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
213 KB
Volume
39
Category
Article
ISSN
0097-5397

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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 o