A CHARACTERIZATION OF SPORADIC SIMPLE GROUPS BY NSE AND ORDER

DOI10.1142/S0219498812501587zbMath1263.20015OpenAlexW2017614067MaRDI QIDQ4909160

Alireza Khalili Asboei, Seyed Sadegh Salehi Amiri, Abolfazl Tehranian, Ali Iranmanesh

Publication date: 12 March 2013

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

Full work available at URL: https://doi.org/10.1142/s0219498812501587

zbMATH Keywords

finite groupssporadic simple groupssets of element orderssets of numbers of elements of equal orders

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items (22)

Characterization of groups \(L_2(q)\) by nse where \(q\in\{17,27,29\}\). ⋮ Unnamed Item ⋮ A characterization of the linear groups L 2(p) ⋮ A new characterization of \(\operatorname{PSL}(2,q)\) for some \(q\) ⋮ Unnamed Item ⋮ A characterization of projective special unitary group \(\mathrm{PSU}(3,3)\) and projective special linear group \(\mathrm{PSL}(3,3)\) by NSE ⋮ NSE characterization of the Chevalley group \(G_2(4)\) ⋮ Unnamed Item ⋮ A characterization of projective special unitary group \(U_3(5)\) by nse. ⋮ A NEW CHARACTERIZATION OF SOME LINEAR GROUPS BY NSE ⋮ Some results on the main supergraph of finite groups ⋮ A new characterization of projective special linear groups L3(q) ⋮ 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 ⋮ A new characterization of Ree group $mathbf{{}^2G_2(q)}$ by the order of group and the number of elements with the same order ⋮ A new characterization of symplectic groups C2(3n) ⋮ Unnamed Item ⋮ A new characterization of Suzuki groups ⋮ Recognition of 2-dimensional projective linear groups by the group order and the set of numbers of its elements of each order ⋮ Unnamed Item ⋮ A NEW CHARACTERIZATION OF PGL(2, p)

Cites Work

• The theory of finite groups. An introduction.
• Characterization of simple \(K_4\)-groups.

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