Geodesic
On finite nonsolvable $5$-primary groups with disconnected Gruenberg--Kegel graph such that $\bigl|\pi\bigl(G / F(G)\bigr)\bigr| \le 4$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 69-87.

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This paper describes the chief factors of the commutator subgroups of finite nonsolvable groups $G$ with disconnected Gruenberg–Kegel graph having exactly $5$ vertices in the case where $G / F(G)$ is an almost simple $n$-primary group for $n \le 4$. 
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     title = {On finite nonsolvable $5$-primary groups with disconnected {Gruenberg--Kegel} graph such that $\bigl|\pi\bigl(G / F(G)\bigr)\bigr| \le 4$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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V. A. Kolpakova; A. S. Kondrat'ev. On finite nonsolvable $5$-primary groups with disconnected Gruenberg--Kegel graph such that $\bigl|\pi\bigl(G / F(G)\bigr)\bigr| \le 4$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 69-87. http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a7/

[1] Belonogov V. A., Predstavleniya i kharaktery v teorii konechnykh grupp, UrO AN SSSR, Sverdlovsk, 1990 | MR

[2] Kolpakova V. A., Kondratev A. S., “Konechnye pochti prostye $6$-primarnye gruppy i ikh grafy Gryunberga–Kegelya”, Algebra i prilozheniya, Tr. Mezhdunar. konf., posvyasch. 100-letiyu L. A. Kaluzhnina, KBGU, Nalchik, 2014, 63–66

[3] Kondratev A. S., “O komponentakh grafa prostykh chisel konechnykh prostykh grupp”, Matem. sb., 180:6 (1989), 787–797 | MR | Zbl

[4] Kondratev A. S., Khramtsov I. V., “O konechnykh triprimarnykh gruppakh”, Tr. In-ta matematiki i mekhaniki UrO RAN, 16, no. 3, 2010, 150–158

[5] Kondratev A. S., Khramtsov I. V., “O konechnykh chetyreprimarnykh gruppakh”, Tr. In-ta matematiki i mekhaniki UrO RAN, 17, no. 4, 2011, 142–159

[6] Kondratev A. S., Khramtsov I. V., “O konechnykh neprostykh triprimarnykh gruppakh s nesvyaznym grafom prostykh chisel”, Sib. el. matem. izv., 9 (2012), 472–477 | MR | Zbl

[7] Kertis Ch., Rainer I., Teoriya predstavlenii konechnykh grupp i assotsiativnykh algebr, Nauka, M., 1969 | MR

[8] Mazurov V. D., “Kharakterizatsiya konechnykh grupp mnozhestvami poryadkov ikh elementov”, Algebra i logika, 36:1 (1997), 37–53 | MR | Zbl

[9] Khramtsov I. V., “O konechnykh neprostykh $4$-primarnykh gruppakh”, Sib. el. matem. izv., 11 (2014), 695–708 | Zbl

[10] Aschbacher M., Finite group theory, Cambridge Univ. Press, Cambridge, 1986 | MR | Zbl

[11] Conway J. H., Curtis R. T., Norton S. P., Parker R. A., Wilson R. A., Atlas of finite groups, Clarendon Press, Oxford, 1985 | MR | Zbl

[12] GAP Groups, Algorithms, and Programming. Ver. 4.4.12, , 2008 http://www.gap-system.org

[13] Higman G., Odd Characterizations of Finite Simple Groups, Lecture Notes, Univ. of Michigan, Michigan, 1968

[14] Huppert B., Blackburn N., Finite Groups, v. II, Springer, Berlin, 1982

[15] Jansen C., Lux K., Parker R., Wilson R., An atlas of Brauer characters, Clarendon Press, Oxford, 1995 | MR | Zbl

[16] Kondrat'ev A. S., “Finite linear groups of small degree. II”, Commun. Algebra, 29:9 (2001), 4103–4123 | DOI | MR | Zbl

[17] Kondrat'ev A. S., “Finite almost simple $5$-primary groups i their Gruenberg–Kegel graphs”, Sib. el. matem. izv., 11 (2014), 634–674 | Zbl

[18] Lucido M. S., “Prime graph components of finite almost simple groups”, Rend. Sem. Mat. Univ. Padova, 102 (1999), 1–22 ; addendum Rend. Sem. Mat. Univ. Padova, 107 (2002), 189–190 | MR | Zbl | MR | Zbl

[19] Simpson W. A., Frame J. S., “The character tables for $\mathrm{SL}(3,q)$, $\mathrm{SU}(3, q^2)$, $\mathrm{PSL}(3, q)$, $\mathrm{PSU}(3, q^2)$”, Can. J. Math., 25:3 (1973), 486–494 | DOI | MR | Zbl

[20] Stewart W. B., “Groups having strongly self-centralizing $3$-centralizers”, Proc. London Math. Soc., 426:4 (1973), 653–680 | DOI | MR

[21] Williams J. S., “Prime graph components of finite groups”, J. Algebra, 69:2 (1981), 487–513 | DOI | MR | Zbl