Geodesic
Conjugacy of large abelian unipotent subgroups in a~finite Chevalley group of type $E_8$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 536-540.

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The description of large abelian subgroups of the unipotent subgroup of the Chevalley group of type $E_8$ is complete.
Keywords: Chevalley group, unipotent subgroup, large abelian subgroup. 
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Galina S. Suleimanova. Conjugacy of large abelian unipotent subgroups in a~finite Chevalley group of type $E_8$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 536-540. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a11/

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

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

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

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

[5] V. M. Levchuk, G. S. Suleimanova, “Normalnoe stroenie i ekstremalnye podgruppy v unipotentnoi podgruppe grupp lieva tipa”, Fundam. i prikl. matematika, 17 (2011) (to appear)

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

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

[8] G. S. Suleimanova, “Klassy sopryazhennykh v gruppe Shevalle tipa $F_4$ bolshikh abelevykh podgrupp unipotentnoi podgruppy”, Vladikavkazskii matem. zhurn., 13:2 (2011), 45–55

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

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

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

[12] V. M. Levchuk, G. S. Suleimanova, “Automorphisms and normal structure of unipotent subgroups of finitary Chevalley groups”, Proceed. of the Steklov Inst. Math., 267, Pleiades Publ., 2009, 118–127