Groups with the same character degrees as sporadic quasisimple groups. Issue 5 (4th May 2021)

• Record Type: Journal Article
• Authors: Moghadam, S. Madady; Iranmanesh, A.
• Is Part Of: Communications in algebra. Volume 49:Issue 5(2021)
• Page Start: 1966
• Page End: 1990
• Publication Date: 2021-05-04
• Subjects: Character degrees -- Huppert's conjecture -- quasisimple groups -- sporadic simple groups; Primary 20C15 -- Secondary 20D05; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2020.1860215
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: Let G be a finite group and cd ( G ) denote the set of complex irreducible character degrees of G . We prove that if H ≇ 2 . M 12 is a sporadic quasisimple group that c d ( G ) = c d ( H ), then there exists an Abelian subgroup A of G such that G is isomorphic to a central product of H and A .