Characterization of some finite groups by order and length of one conjugacy class |
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Authors: | S. S. S. Amiri A. Kh. Asboei |
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Abstract: | We study the possibility of characterizing S ∈ {2Dn(2), 2Dn+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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