Huppert’s Analogue Conjecture for $$ {\text{ PSL }}(3,q)$$ and $$ {\text{ PSU }}(3,q)$$

Recognising Ree Groups Using the Codegree Set

“…The conjecture also holds in the cases where H is M 11 , M 12 , M 22 , M 23 or PSL (3,3) by [9]. For PSL (3, q) and PSU (3, q), the conjecture was confirmed in [16]. In this paper, we continue the study of the conjecture and establish the following result.…”

On the Characterization of Alternating Groups by Codegrees

“…It has been verified for PSL(2, q), PSL (3,4), Alt 7 , J 1 , 2 B 2 (2 2f +1 ) where f ≥ 1, M 11 , M 12 , M 22 , M 23 and PSL (3,3) by [1,3,13]. The conjecture has also been verified for PSL (3, q) and PSU (3, q) in [19] and 2 G 2 (q) in [14]. Recently, the authors verified the conjecture for all sporadic simple groups in [11].…”