OD-Characterization of Some Projective Special Linear Groups Over the Binary Field and Their Automorphism Groups

DOI10.1080/00927872.2014.891605zbMath1326.20024arXiv1304.7333OpenAlexW2009526638MaRDI QIDQ5256738

S. Rahbariyan, Ali Reza Moghaddamfar

Publication date: 19 June 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7333

zbMATH Keywords

finite simple groupssets of element ordersGruenberg-Kegel graphsdegree patternsOD-characterizability

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (4)

OD-characterization of some simple unitary groups ⋮ OD-characterization of almost simple groups related to \(L=\mathrm{PSL}(2,p^2)\) except \(\Aut(L)\) ⋮ OD-characterization of certain four dimensional linear groups with related results concerning degree patterns. ⋮ Several quantitative characterizations of some specific groups

Cites Work

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• A Characterization of Finite Simple Groups by the Degrees of Vertices of Their Prime Graphs
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