Geodesic
Groups with a~dense system of complemented nonextremal Abelian subgroups
Matematičeskie zametki, Tome 22 (1977) no. 5, pp. 611-620.

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Suppose $G$ is a group containing nonextremal Abelian subgroups. We say that it possesses a dense system of complemented nonextremal Abelian subgroups if for any two nonextremal Abelian subgroups $A\subset B$ of $G$, the first of which is not maximal in the second, there exists a $G$-complemented subgroup contained strictly between them. In this paper we obtain a description of the locally finite groups with such a dense system of subgroups. In particular, all infinite Abelian subgroups of such groups are complemented. 
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     author = {N. S. Chernikov},
     title = {Groups with a~dense system of complemented nonextremal {Abelian} subgroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {611--620},
     publisher = {mathdoc},
     volume = {22},
     number = {5},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_5_a1/}
}
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N. S. Chernikov. Groups with a~dense system of complemented nonextremal Abelian subgroups. Matematičeskie zametki, Tome 22 (1977) no. 5, pp. 611-620. http://geodesic.mathdoc.fr/item/MZM_1977_22_5_a1/