Criteria for the solubility of finite groups by their centralizers
β Scribed by Mohammad Zarrin
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 117 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0003-889X
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## Abstract Let __G__ be a finite group. We prove that the theory af abelianβbyβ__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 abelianβbyβ__G__ groups, in particular we show that their clas