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Seyed Hassan Alavi

Seyed Hassan Alavi

Academic rank: Professor
ORCID: https://orcid.org/0000-0002-6442-2507
Education: PhD.
ScopusId: 7005887407
HIndex: 0/00
Faculty: Faculty of Science
Address: Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
Phone:

Research

Title
Sporadic simple groups as flag‐transitive automorphism groups of symmetric designs
Type
JournalPaper
Keywords
flag‐transitive, sporadic simple groups, symmetric design
Year
2024
Journal Journal of Combinatorial Designs
DOI
Researchers Seyed Hassan Alavi ، Ashraf Daneshkhah

Abstract

In this article, we study symmetric designs admitting flag‐transitive, point‐imprimitive almost simple auto- morphism groups with socle sporadic simple groups. As a corollary, we present a classification of symmetric designs admitting flag‐transitive automorphism group whose socle is a sporadic simple group, and in conclusion, there are exactly seven such designs, one of which admits a point‐imprimitive automorphism group and the remaining are point‐primitive.