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Research articles

ScienceAsia 46 (2020): 235-239 |doi: 10.2306/scienceasia1513-1874.2020.028


Re-characterization of PGL(2, p) by its order and one class length


Song-Fang Jia, Yan-Heng Chen*

 
ABSTRACT:     The present article used the classification of simple groups to prove that group G is isomorphic to the projective linear group PGL(2, p) if |G| = p(p2 − 1) and p2 − 1 ∈ N(G), where N(G) is the collection of conjugacy class length of G and p is a prime.

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a Department of Mathematics, Chongqing Three Gorges University, Wanzhou 404200 China

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

Received 1 Nov 2019, Accepted 12 Apr 2020