Keywords:-

Keywords: Conjugacy class size, Thompson’s conjecture.

Article Content:-

Abstract

Abstract.

                         Suppose that G be a finite group, and let N (G)

be the set of conjugacy class sizes of G.  By Thompson’s conjecture, if H is a finite non abelian simple group, G is a finite group with a trivial center, and N (G) = N (H), then H and are  isomorphic. Chen et al. contributed interestingly to Thompsons conjecture under a weak condition. In this article, we investigate validity of Thompsons conjecture under a weak condition for the projective special unitary groups. This work implies that Thompsons conjecture holds for the PSU (3, q), where q is prime power.

References:-

References

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Askary, S. (2024). Characterization of PSU (3, q) by its order and one special conjugacy class size. International Journal Of Mathematics And Computer Research, 12(4), 4145-4149. https://doi.org/10.47191/ijmcr/v12i4.05