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http://dx.doi.org/10.4134/JKMS.2010.47.2.311

CHARACTERIZATION OF THE GROUPS Dp+1(2) AND Dp+1(3) USING ORDER COMPONENTS  

Darafsheh, Mohammad Reza (School of Mathematics, College of Science, University of Tehran, Research Institute for Fundamental Science)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.2, 2010 , pp. 311-329 More about this Journal
Abstract
In this paper we will prove that the groups $D_{p+1}$(2) and $D_{p+1}$(3), where p is an odd prime number, are uniquely determined by their sets of order components. A main consequence of our result is the validity of Thompson's conjecture for the groups $D_{p+1}$(2) and $D_{p+1}$(3).
Keywords
prime graph; order component; linear group;
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