Geodesic
Finite groups with 2-closed or $2'$-closed centralizers of involutions
Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1215-1230

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In the paper finite groups are investigated in which the centralizer of every involution is 2-closed or $2'$-closed. 
@article{IM2_1971_5_6_a2,
     author = {V. M. Sitnikov},
     title = {Finite groups with 2-closed or $2'$-closed centralizers of involutions},
     journal = {Izvestiya. Mathematics },
     pages = {1215--1230},
     publisher = {mathdoc},
     volume = {5},
     number = {6},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a2/}
}
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V. M. Sitnikov. Finite groups with 2-closed or $2'$-closed centralizers of involutions. Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1215-1230. http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a2/