Characterization of some finite groups by order and length of one conjugacy class
- Authors: Amiri S.S.1, Asboei A.K.1
-
Affiliations:
- Department of Mathematics
- Issue: Vol 57, No 2 (2016)
- Pages: 185-189
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170349
- DOI: https://doi.org/10.1134/S0037446616020014
- ID: 170349
Cite item
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.
About the authors
S. S. S. Amiri
Department of Mathematics
Author for correspondence.
Email: salahisss@baboliau.ac.ir
Iran, Islamic Republic of, Babol
A. Kh. Asboei
Department of Mathematics; Department of Mathematics
Email: salahisss@baboliau.ac.ir
Iran, Islamic Republic of, Mazandaran; Buinzahra