Open AccessA New Characterization of PSL(2, 27)
Author(s) -
Alireza Khalili Asboei
Publication year - 2014
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v32i1.15899
Subject(s) - psl , mathematics , pi , combinatorics , group (periodic table) , physics , order (exchange) , characterization (materials science) , geometry , optics , quantum mechanics , finance , economics
Let G be a finite group and pi_{e}(G) be the set of element orders of G. Let k in pi_{e}(G)$ and m_{k} be the number of elements of order k in G. Set nse(G):={ m_{k} | k in pi_{e}(G)}. In this paper, we prove that if G is a group such that nse(G)=nse(PSL(2, 27)) then G is isomophic to PSL(2, 27)