https://orcid.org/0000-0002-6914-9650
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Nguyen N Hung, Alexander Moretó, The codegree isomorphism problem for finite simple groups II, The Quarterly Journal of Mathematics, Volume 76, Issue 1, March 2025, Pages 237–250, https://doi.org/10.1093/qmath/haaf001
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ABSTRACT
Let H be a nonabelian finite simple group. Huppert’s conjecture asserts that if G is a finite group with the same set of complex character degrees as H, then |$G\cong H\times A$| for some abelian group A. Over the past two decades, several specific cases of this conjecture have been addressed. Recently, attention has shifted to the analogous conjecture for character codegrees: if G has the same set of character codegrees as H, then |$G\cong H$|. Unfortunately, both problems have primarily been examined on a case-by-case basis. In this paper and the companion [15], we present a more unified approach to the codegree conjecture and confirm it for several families of simple groups.
