Product of a biprimary and A 2-decomposable group

1978 ◽  
Vol 23 (5) ◽  
pp. 355-359
Author(s):  
V. S. Monakhov
Keyword(s):  
Decomposable Group

scholarly journals On the product of a π-group and a π-decomposable group

2007 ◽  
Vol 315 (2) ◽  
pp. 640-653 ◽  
Author(s):  
L.S. Kazarin ◽  
A. Martínez-Pastor ◽  
M.D. Pérez-Ramos
Keyword(s):  
Decomposable Group

Decompositions of decidable abelian groups

2019 ◽  
Vol 30 (01) ◽  
pp. 49-90 ◽  
Author(s):  
Nikolay Bazhenov ◽  
Sergey Goncharov ◽  
Alexander Melnikov
Keyword(s):  
Abelian Group ◽  
Linear Independence ◽  
Abelian Groups ◽  
Decomposable Group

We use computability-theoretic tools to measure the complexity of the process of direct decomposing an abelian group based on its symbolic presentation. More specifically, we compare degrees of decidable categoricity of abelian groups with degrees of categoricity of their natural direct summands. As a nontrivial and unexpected application of our methods, we show that every decidable copy of a nondivisible homogeneous completely decomposable group has an algorithm for linear independence.

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