2018
Том 70
№ 9

All Issues

On one class of modules over integer group rings of locally solvable groups

Dashkova O. Yu.

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Abstract

We study a $Z G$-module $A$ in the case where the group $G$ is locally solvable and satisfies the condition min–naz and its cocentralizer in A is not an Artinian $Z$-module. We prove that the group G is solvable under the conditions indicated above. The structure of the group $G$ is studied in detail in the case where this group is not a Chernikov group.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 1, pp 50-56.

Citation Example: Dashkova O. Yu. On one class of modules over integer group rings of locally solvable groups // Ukr. Mat. Zh. - 2009. - 61, № 1. - pp. 44-51.

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