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- Title
ON HUPPERT’S CONJECTURE FOR THE CONWAY AND FISCHER FAMILIES OF SPORADIC SIMPLE GROUPS.
- Authors
ALAVI, S. H.; DANESHKHAH, A.; TONG-VIET, H. P.; WAKEFIELD, T. P.
- Abstract
Let $G$ denote a finite group and $\mathrm{cd} (G)$ the set of irreducible character degrees of $G$. Huppert conjectured that if $H$ is a finite nonabelian simple group such that $\mathrm{cd} (G)= \mathrm{cd} (H)$, then $G\cong H\times A$, where $A$ is an abelian group. He verified the conjecture for many of the sporadic simple groups and we complete its verification for the remainder.
- Subjects
HOUPERT family; SPORADIC E (Ionosphere); NONABELIAN groups; MORDELL conjecture; LOGICAL prediction
- Publication
Journal of the Australian Mathematical Society, 2013, Vol 94, Issue 3, p289
- ISSN
1446-7887
- Publication type
Article
- DOI
10.1017/S1446788712000535