Geodesic
ON CERTAIN APPLICATIONS OF THE KHUKHRO–MAKARENKO THEOREM
Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 275-283

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DOI

Some recent results of Khukhro and Makarenko on the existence of characteristic -subgroups of finite index in a group G, for certain varieties , are used to obtain generalisations of some well-known results in the literature pertaining to groups G, in which all proper subgroups satisfy some condition or other related to the property ‘soluble-by-finite’. In addition, a partial generalisation is obtained for the aforementioned results on the existence of characteristic subgroups.
DOI : 10.1017/S0017089512000493
Mots-clés : 20F10, 20F19, 20E50 
ARIKAN, AHMET; SMITH, HOWARD; TRABELSI, NADIR. ON CERTAIN APPLICATIONS OF THE KHUKHRO–MAKARENKO THEOREM. Glasgow mathematical journal, Tome 55 (2013) no. 2, pp. 275-283. doi: 10.1017/S0017089512000493
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     title = {ON {CERTAIN} {APPLICATIONS} {OF} {THE} {KHUKHRO{\textendash}MAKARENKO} {THEOREM}},
     journal = {Glasgow mathematical journal},
     pages = {275--283},
     year = {2013},
     volume = {55},
     number = {2},
     doi = {10.1017/S0017089512000493},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000493/}
}
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