Geodesic
A~reduction theorem for TIsubgroups
Izvestiya. Mathematics , Tome 38 (1992) no. 2, pp. 299-311

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The following reduction theorem for TI-subgroups is obtained: if a 2-group $A$ is a TI-subgroup of a finite group, then either $A$ is an elementary or cyclic group, or the normal closure of $A$ is a well-known group. 
@article{IM2_1992_38_2_a3,
     author = {A. A. Makhnev},
     title = {A~reduction theorem for {TIsubgroups}},
     journal = {Izvestiya. Mathematics },
     pages = {299--311},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_2_a3/}
}
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A. A. Makhnev. A~reduction theorem for TIsubgroups. Izvestiya. Mathematics , Tome 38 (1992) no. 2, pp. 299-311. http://geodesic.mathdoc.fr/item/IM2_1992_38_2_a3/