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Abelian-by-G Groups, for G Finite, from the Model Theoretic Point of View

✍ Scribed by Annalisa Marcja; Carlo Toffalori


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

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✦ Synopsis


Abstract

Let G be a finite group. We prove that the theory af abelian‐by‐G groups is decidable if and only if the theory of modules over the group ring β„€[G] is decidable. Then we study some model theoretic questions about abelian‐by‐G groups, in particular we show that their class is elementary when the order of G is squarefree.

Mathematics Subject Classification: 03C60, 03B25.


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