Geodesic
Automorphisms and Normal Subgroups of Linear Groups
Matematičeskie zametki, Tome 82 (2007) no. 3, pp. 469-476

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In the present paper, the properties of orders of coprime automorphisms of irreducible linear groups are established and sufficient conditions for the existence of a normal Hall $\pi$-subgroup in a given $\pi$-separable irreducible complex linear group are obtained.
Keywords: finite group, irreducible linear group, coprime automorphism, normal Hall subgroup, irreducible character, Sylow group
Mots-clés : Frobenius group. 
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     author = {A. A. Yadchenko},
     title = {Automorphisms and {Normal} {Subgroups} of {Linear} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {469--476},
     publisher = {mathdoc},
     volume = {82},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_3_a13/}
}
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A. A. Yadchenko. Automorphisms and Normal Subgroups of Linear Groups. Matematičeskie zametki, Tome 82 (2007) no. 3, pp. 469-476. http://geodesic.mathdoc.fr/item/MZM_2007_82_3_a13/