RECOGNISING REE GROUPS 2G2(q) USING THE CODEGREE SET

Authors:Guan, Haiyan; Zhang, Xuning; Yang, Yong*
Source:BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2023, 108(1): 125-132.
DOI:10.1017/S0004972722001022

Summary

The codegree of an irreducible character? of a finite group G is |G : ker?|/?(1). We show that the Ree group (2)G(2)(q), where q = 3(2 f +1), is determined up to isomorphism by its set of codegrees.

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