Geodesic
The Baer–Suzuki theorem for groups of 3-exponent 1
Algebra i logika, Tome 62 (2023) no. 3, pp. 400-407

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We prove a theorem that generalizes Lemma 4 in the paper of A. S. Mamontov [Sib. Math. J., 54, No. 1, 114—118 (2013)] concerning the validity of the Baer–Suzuki theorem in groups of period 12. The results of the present paper can be used in studying groups with a given set of element orders, also called a spectrum.
Keywords: Baer–Suzuki theorem, group of period 12. 
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     author = {J. Tang and N. Yang and A. S. Mamontov},
     title = {The {Baer{\textendash}Suzuki} theorem for groups of 3-exponent~1},
     journal = {Algebra i logika},
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     publisher = {mathdoc},
     volume = {62},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2023_62_3_a3/}
}
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J. Tang; N. Yang; A. S. Mamontov. The Baer–Suzuki theorem for groups of 3-exponent 1. Algebra i logika, Tome 62 (2023) no. 3, pp. 400-407. http://geodesic.mathdoc.fr/item/AL_2023_62_3_a3/