2025 : 4 : 21

Ashraf Daneshkhah

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId: 6506891320
HIndex:
Faculty: Faculty of Science
Address:
Phone:

Research

Title
ON HUPPERT’S CONJECTURE FOR THE CONWAY AND FISCHER FAMILIES OF SPORADIC SIMPLE GROUPS
Type
JournalPaper
Keywords
character degrees, sporadic simple groups, Huppert’s conjecture
Year
2013
Journal JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
DOI
Researchers Seyed Hassan Alavi ، Ashraf Daneshkhah ، H. P. TONG-VIET ، T. P. WAKEFIELD

Abstract

Let G denote a finite group and cd(G) the set of irreducible character degrees of G. Huppert conjectured that if H is a finite nonabelian simple group such that cd(G) = 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.