Abstract
We study the possibility of characterizing S ∈ {2D n (2), 2D n+1(2)} by simple conditions when 2n+1 > 5 is a prime. Furthermore, we will show that Thompson’s conjecture is valid under some weak condition for these groups.
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Babol. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 2, pp. 241–246, March–April, 2016; DOI: 10.17377/smzh.2016.57.201.
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Amiri, S.S.S., Asboei, A.K. Characterization of some finite groups by order and length of one conjugacy class. Sib Math J 57, 185–189 (2016). https://doi.org/10.1134/S0037446616020014
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DOI: https://doi.org/10.1134/S0037446616020014