Geodesic
On normally embedded subgroups of locally soluble FC-groups
Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 153-159

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In his Habilitationsschrift [3] B. Fischer introduced the concept of a normally embedded subgroup of a finite group. A subgroup of a finite group G is said to be normally embedded in G if each of its Sylow subgroups is a Sylow subgroup of a normal subgroup of G. Meanwhile this concept has become of considerable importance in the theory of finite soluble groups and has been studied by various authors. However, in infinite group theory, normally embedded subgroups seem to have received little attention. The object of this note is to study normally embedded subgroups of locally soluble FC-groups. 
Beidleman, J. C.; Karbe, M. J. On normally embedded subgroups of locally soluble FC-groups. Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 153-159. doi: 10.1017/S0017089500006479
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[1] 1.Anderson, W., Injectors in finite solvable groups, J. Algebra 36 (1975), 333–338. Google Scholar | DOI

[2] 2.Chambers, G. A., p-normally embedded subgroups of finite soluble groups J. Algebra 16 (1970), 442–455. Google Scholar | DOI

[3] 3.Fischer, B., Klassen konjugierter Untergruppen in endlichen auflösbaren Gruppen, Habilitationsschrift, Universität Frankfurt am Main (1966). Google Scholar

[4] 4.Tomkinson, M. J., FC-groups (Pitman, 1984). Google Scholar

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