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Research articles

ScienceAsia 48 (2022): 237-239 |doi: 10.2306/scienceasia1513-1874.2022.032


A note on the recognition of PSL2(p)


Songfang Jiaa, Yanheng Chena,*, Jinbao Lib

 
ABSTRACT:     It is proved in this note that a finite group G is isomorphic to the projective special linear group PS L2 (p) or a affine linear group A? L1 (8) if and only if |G| = p(p 2 ? 1)/(2, p ? 1) and (p 2 ? 1)/(2, p ? 1) ? N(G), where p is a prime and N(G) = {|x G | : x ? G}.

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a Key Laboratory for Nonlinear Science and System Structure, Chongqing Three Gorges University, Chongqing 404020 China
b School of Mathematics and Big Data, Chongqing University of Arts and Sciences, Chongqing 402160 China

* Corresponding author, E-mail: math_yan@126.com

Received 14 Jan 2021, Accepted 13 Oct 2021