A NEW CHARACTERIZATION OF SOME LINEAR GROUPS BY NSE

DOI10.1142/S0219498813500941zbMath1286.20021WikidataQ59255730 ScholiaQ59255730MaRDI QIDQ5401623

Qinhui Jiang, Changguo Shao

Publication date: 10 March 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsfinite linear groupssets of element orderssets of numbers of elements of equal orders

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (10)

Characterization of groups \(L_2(q)\) by nse where \(q\in\{17,27,29\}\). ⋮ Unnamed Item ⋮ A characterization of projective special unitary group \(\mathrm{PSU}(3,3)\) and projective special linear group \(\mathrm{PSL}(3,3)\) by NSE ⋮ A new characterization of \(L_2(p)\) by nse. ⋮ NSE characterization of the Chevalley group \(G_2(4)\) ⋮ Unnamed Item ⋮ Characterization of the Chevalley group $G_{2}(5)$ by the set of numbers of the same order elements ⋮ Unnamed Item ⋮ A new characterization of Ree group $mathbf{{}^2G_2(q)}$ by the order of group and the number of elements with the same order ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• A new characterization of \(A_5\).
• Prime graph components of finite groups
• Characterization of simple \(K_4\)-groups.
• A CHARACTERIZATION OF SPORADIC SIMPLE GROUPS BY NSE AND ORDER
• Endliche Gruppen I
• On a problem of E. Artin

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