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On Preservation of Stability for Finite Extensions of Abelian Groups

✍ Scribed by Frieder Haug

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
778 KB
Volume
40
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis

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.

Mathematics Subject Classification: 03C60, 20C05.

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