Title of article
NSE characterization of some linear groups
Author/Authors
Ahanjideh ، N. - Shahrekord University , Mousavi ، L. - Isfahan University of Technology , Taeri ، B. - Isfahan University of Technology
Pages
12
From page
1531
To page
1542
Abstract
For a finite group G, let nse(G) = {mk | k ∈ πe(G)}, where mk is the number of elements of order k in G and πe(G) is the set of element orders of G. In this paper, we prove that G ∼= Lm(2) if and only if p | |G| and nse(G) = nse(Lm(2)), where m ∈ {n, n + 1} and 2^n − 1 = p is a prime number.
Keywords
Set of the numbers of elements of the same order , prime graph , Mersenne number.
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2017
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456117
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