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Title On Groups With the Minimal Condition for Non-Invariant Decomposable Abelian Subgroups
 
Names Lyman, Fedir Mykolaiovych
Лиман, Федір Миколайович
Drushliak, Maryna Hryhorivna
Друшляк, Марина Григорівна
Date Issued 2006 (iso8601)
Abstract The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (md-groups)are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable abelian subgroups and others belong to the class of md-groups. The complete description of infinite locally finite and locally soluble non-periodic md-groups is given, the connection of the class of md-groups with other classes of groups are investigated.
Genre Article
Topic group
Identifier Lyman, F. N. On Groups With the Minimal Condition for Non-Invariant Decomposable Abelian Subgroups / F. N. Lyman, M. G. Drushlyak // Algebra and discrete mathematics. – 2006. – № 4. – P. 57–66.