Geodesic
Groups saturated by finite simple groups
Algebra i logika, Tome 48 (2009) no. 5, pp. 628-653

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We describe periodic groups saturated by groups in the set $$ \mathfrak C=\{ L_2(r),\ r\ge4;\quad L_3(2^m),\ m\ge1;\quad U_3(2^m),\ m\ge2;\quad Sz(2^m),\ m\ge3\}. $$ As a corollary we give a description of periodic groups $G$ saturated by finite simple groups and satisfying one of the following conditions: (a) centralizers of involutions in $G$ are 2-closed; (b) $G$ contains a strongly embedded 2-local subgroup.
Keywords: group saturated by finite simple groups, periodic group. 
@article{AL_2009_48_5_a4,
     author = {D. V. Lytkina},
     title = {Groups saturated by finite simple groups},
     journal = {Algebra i logika},
     pages = {628--653},
     publisher = {mathdoc},
     volume = {48},
     number = {5},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2009_48_5_a4/}
}
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D. V. Lytkina. Groups saturated by finite simple groups. Algebra i logika, Tome 48 (2009) no. 5, pp. 628-653. http://geodesic.mathdoc.fr/item/AL_2009_48_5_a4/