Geodesic
Conjugacy classes of large abelian subgroups in the unipotent subgroup of a Chevalley group of type $F_4$
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 45-55 
G. S. Suleimanova. Conjugacy classes of large abelian subgroups in the unipotent subgroup of a Chevalley group of type $F_4$. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 45-55. http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The description of large abelian subgroups in the unipotent subgroup of the Chevalley group over a finite field of type $F_4$ is completed.

[1] Burbaki N., Gruppy i algebry Li, Glavy IV–VI, Mir, M., 1972, 336 pp. | MR | Zbl

[2] Vdovin E. P., “Bolshie abelevy unipotentnye podgruppy konechnykh grupp Shevalle”, Algebra i logika, 40:5 (2001), 523–544 | MR | Zbl

[3] Kondratev A. S., “Podgruppy konechnykh grupp Shevalle”, Uspekhi mat. nauk, 41:1(247) (1986), 57–96 | MR | Zbl

[4] Levchuk V. M., “Avtomorfizmy unipotentnykh podgrupp grupp lieva tipa malykh rangov”, Algebra i logika, 29:2 (1990), 141–161 | MR | Zbl

[5] Levchuk V. M., Suleimanova G. S., “Normalnoe stroenie unipotentnoi podgruppy gruppy lieva tipa i smezhnye voprosy”, Dokl. RAN, 419:5 (2008), 595–598 | MR | Zbl

[6] Levchuk V. M., Suleimanova G. S., “Avtomorfizmy i normalnoe stroenie unipotentnykh podgrupp finitarnykh grupp Shevalle”, Tr. Instituta matematiki i mekhaniki, 15, no. 2, 2009, 133–142 | Zbl

[7] Maltsev A. I., “Kommutativnye podalgebry poluprostykh algebr Li”, Izv. AN SSSR. Ser. mat., 9:4 (1945), 291–300 | MR | Zbl

[8] Steinberg R., Lektsii o gruppakh Shevalle, Mir, M., 1975, 262 pp. | MR | Zbl

[9] Suleimanova G. S., “O sopryazhennosti v gruppe Shevalle bolshikh abelevykh podgrupp unipotentnoi podgruppy”, Fundamentalnaya i prikladnaya matematika, 15:7 (2009), 205–216 | MR

[10] Carter R., Simple groups of Lie type, Wiley and Sons, New York, 1972 | MR | Zbl

[11] Gupta C. K., Levchuk V. M., Ushakov Yu. Yu., “Hypercentral and monic automorphisms of classical algebras, rings and groups”, J. Siberian Federal Univ. Mathematics Physics, 1:4 (2008), 380–390

[12] Levchuk V. M., Suleymanova G. S., Voitenko T. Yu., “Some questions for the unipotent subgroup of the Chevalley group”, Tezisy dokl. mezhdunar. konf. “Algebra i ee prilozheniya”, SFU, Krasnoyarsk, 2007, 168–169