Recognition of the finite simple groups \(L_3(2^m)\) and \(U_3(2^m)\) by their element orders (Q2746918)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Recognition of the finite simple groups \(L_3(2^m)\) and \(U_3(2^m)\) by their element orders |
scientific article; zbMATH DE number 1656856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Recognition of the finite simple groups \(L_3(2^m)\) and \(U_3(2^m)\) by their element orders |
scientific article; zbMATH DE number 1656856 |
Statements
11 October 2001
0 references
element orders
0 references
recognizable groups
0 references
Recognition of the finite simple groups \(L_3(2^m)\) and \(U_3(2^m)\) by their element orders (English)
0 references
The article is dedicated to the problem of recognition of finite groups by the set of orders of their elements. The authors prove that the groups \(L_3(2^m)\), \(U_3(2^m)\) are recognizable and the groups \(S_4(2^m)\) are not recognizable. See also \textit{A.~Kh.~Zhurtov} and \textit{V.~D.~Mazurov} [Sib. Mat. Zh. 40, No. 1, 75-78 (1999; Zbl 0941.20010)], \textit{V.~D.~Mazurov} and \textit{A.~V.~Zavarnitsyn} [Algebra Logika 38, No. 3, 296-315 (1999; Zbl 0930.20003)], \textit{V.~D.~Mazurov} [in Proceedings of the second Asian mathematical conference 1995, World Scientific, Singapore, 173-176 (1998; Zbl 0951.20014)], \textit{V.~D.~Mazurov} and \textit{W.~J.~Shi} [Lond. Math. Soc. Lect. Note Ser. 261, 532-537 (1999; Zbl 0923.20015)], \textit{V.~D.~Mazurov} [Algebra Logika 36, No. 1, 37-53 (1997; Zbl 0880.20007)], and \textit{V.~D.~Mazurov} [Algebra Logika 36, No. 3, 304-322 (1997; Zbl 0880.20017)].
0 references
