On the existence of Carter subgroups
Trudy Instituta matematiki i mehaniki, Группы и графы, Tome 13 (2007) no. 1, pp. 79-88 Cet article a éte moissonné depuis la source Math-Net.Ru

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In terms of normal series of a finite group, the existence criterion of a Carter subgroup is obtained. An example showing that the criterion cannot be reformulated in terms of composition factors is given. In conclusion, Carter subgroups in almost simple groups are classified.
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E. P. Vdovin. On the existence of Carter subgroups. Trudy Instituta matematiki i mehaniki, Группы и графы, Tome 13 (2007) no. 1, pp. 79-88. http://geodesic.mathdoc.fr/item/TIMM_2007_13_1_a4/

[1] Carter R. W., “Nilpotent self-normalizing subgroups of soluble groups”, Math. Z., 75 (1961), 136–139 | DOI | MR | Zbl

[2] Vdovin E. P., “O probleme sopryazhennosti dlya karterovykh podgrupp”, Sib. mat. zhurn., 47:4 (2006), 725–730 | MR | Zbl

[3] Vdovin E. P., “Karterovy podgruppy v konechnykh pochti prostykh gruppakh”, Algebra i logika, 46:2 (2007), 157–216 | MR | Zbl

[4] Kargapolov M. I., Merzlyakov Yu. I., Osnovy teorii grupp, Nauka, Fizmatlit, M., 1996 | MR | Zbl

[5] Tamburini M. C., Vdovin E. P., “Carter subgroups of finite groups”, J. Algebra, 255:1 (2002), 148–163 | DOI | MR | Zbl

[6] Tiep P. H., Zalesski A. E., “Real conjugacy classes in algebraic groups and finite groups of Lie type”, J. Group Theory, 8:3 (2005), 291–315 | DOI | MR | Zbl

[7] Kondratev A. S., “Normalizatory silovskikh 2-podgrupp v konechnykh prostykh gruppakh”, Mat. zametki, 78:3 (2005), 368–376 | MR

[8] Kondratev A. S., Mazurov V. D., “2-signalizatory konechnykh prostykh grupp”, Algebra i logika, 42:5 (2003), 594–623 | MR