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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 241–246
DOI: https://doi.org/10.17377/smzh.2016.57.201 (Mi smj2740) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Characterization of some finite groups by order and length of one conjugacy class

S. S. S. Amiria, A. Kh. Asboeibc

a Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran
b Department of Mathematics, Farhangian University, Shariati Mazandaran, Iran
c Department of Mathematics, Buinzahra Branch, Islamic Azad University, Buinzahra, Iran
Full-text PDF (447 kB) Citations (5)
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DOI: https://doi.org/10.17377/smzh.2016.57.201
Abstract: We study the possibility of characterizing $S\in\{^2D_n(2),^2D_{n+1}(2)\}$ by simple conditions when $2^n+1>5$ is a prime. Furthermore, we will show that Thompson's conjecture is valid under some weak condition for these groups.
Keywords: finite simple group, length of a conjugacy class, Thompson's conjecture.
Received: 04.03.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 185–189
DOI: https://doi.org/10.1134/S0037446616020014
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: S. S. S. Amiri, A. Kh. Asboei, “Characterization of some finite groups by order and length of one conjugacy class”, Sibirsk. Mat. Zh., 57:2 (2016), 241–246; Siberian Math. J., 57:2 (2016), 185–189
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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