SCIENCE ASIA

Volume 46, No. 02, Month FEBRUARY, Year 2020, Pages 235 - 239

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

Song-Fang Jia, Yan-Heng Chen

Abstract Download PDF

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.

Keywords

finite group, projective linear group, group order, conjugacy class length

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