projective linear groups
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Author(s):  
Stephen P. Glasby ◽  
Emilio Pierro ◽  
Cheryl E. Praeger




2018 ◽  
Vol 0 (0) ◽  
Author(s):  
Alireza Khalili Asboei

Abstract In a finite group G, let {\pi_{e}(G)} be the set of orders of elements of G, let {s_{k}} denote the number of elements of order k in G, for each {k\in\pi_{e}(G)} , and then let {\operatorname{nse}(G)} be the unordered set {\{s_{k}:k\in\pi_{e}(G)\}} . In this paper, it is shown that if {\lvert G\rvert=\lvert L_{2}(q)\rvert} and {\operatorname{nse}(G)=\operatorname{nse}(L_{2}(q))} for some prime-power q, then G is isomorphic to {L_{2}(q)} .



2017 ◽  
Vol 108 (2) ◽  
pp. 675-702
Author(s):  
Dimitri Leemans ◽  
Jérémie Moerenhout ◽  
Eugenia O’Reilly-Regueiro




2015 ◽  
Vol 9 ◽  
pp. 109-114 ◽  
Author(s):  
Shaojun Dai ◽  
Jing Chen ◽  
Zhenzhen Song






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