Geodesic
Finite groups in which the centralizers of elements of order three are nilpotent
Sbornik. Mathematics, Tome 42 (1982) no. 4, pp. 569-575

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In this paper it is proved that a finite group of 3-rank 1, in which the soluble radical is trivial and the centralizers of elements of order 3 are nilpotent, is isomorphic to one of the following groups: $L_3(4)$, $L_3^*(4)$, $PGL(2, 3^n)$ or $H(3^n)$, $n\geqslant2$. Bibliography: 12 titles. 
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     author = {V. R. Maier},
     title = {Finite groups in which the centralizers of elements of order three are nilpotent},
     journal = {Sbornik. Mathematics},
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     volume = {42},
     number = {4},
     year = {1982},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1982_42_4_a6/}
}
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V. R. Maier. Finite groups in which the centralizers of elements of order three are nilpotent. Sbornik. Mathematics, Tome 42 (1982) no. 4, pp. 569-575. http://geodesic.mathdoc.fr/item/SM_1982_42_4_a6/