Geodesic
On groups with the minimal condition for non-invariant decomposable abelian subgroups
Algebra and discrete mathematics, no. 4 (2006), pp. 57-66

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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.
Keywords: subgroup, order of the group, involution, locally finite group, non-periodic group, decomposable abelian subgroup, condition of normality.
Mots-clés : group, minimal condition 
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     author = {F. N. Lyman and M. G. Drushlyak},
     title = {On groups with the minimal condition for non-invariant decomposable abelian subgroups},
     journal = {Algebra and discrete mathematics},
     pages = {57--66},
     publisher = {mathdoc},
     number = {4},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2006_4_a3/}
}
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F. N. Lyman; M. G. Drushlyak. On groups with the minimal condition for non-invariant decomposable abelian subgroups. Algebra and discrete mathematics, no. 4 (2006), pp. 57-66. http://geodesic.mathdoc.fr/item/ADM_2006_4_a3/