Geodesic
Finite groups with Hall $\pi$-subgroups
Sbornik. Mathematics, Tome 203 (2012) no. 3, pp. 326-350

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New classes of finite groups with Hall $\pi$-subgroups that have the Sylow properties are constructed and studied. The classes of groups $C_\pi$ and $D_\pi$ introduced by P. Hall are substantially extended. Necessary and sufficient conditions are established under which a finite group has Hall $\pi$-subgroups. $D$-Theorems generalizing $D$-theorems of P. Hall, Wielandt, Baer, and Hartley are obtained. Bibliography: 30 titles.
Keywords: finite group, Hall $\pi$-subgroup, class of groups
Mots-clés : formation. 
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     author = {V. A. Vedernikov},
     title = {Finite groups with {Hall} $\pi$-subgroups},
     journal = {Sbornik. Mathematics},
     pages = {326--350},
     publisher = {mathdoc},
     volume = {203},
     number = {3},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2012_203_3_a1/}
}
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V. A. Vedernikov. Finite groups with Hall $\pi$-subgroups. Sbornik. Mathematics, Tome 203 (2012) no. 3, pp. 326-350. http://geodesic.mathdoc.fr/item/SM_2012_203_3_a1/