Quasirecognition by prime graph of the simple group 2F4(q) |
| |
| Authors: | Z. Akhlaghi M. Khatami B. Khosravi |
| |
| Affiliation: | (1) Dept. of Pure Math., Faculty of Math. and Computer Sci., Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran, 15914, Iran;(2) School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O.Box: 19395-5746, Tehran, Iran |
| |
| Abstract: | As the main result, we show that if G is a finite group such that Γ(G) = Γ(2 F 4(q)), where q = 22m+1 for some m ≧ 1, then G has a unique nonabelian composition factor isomorphic to 2 F 4(q). We also show that if G is a finite group satisfying |G| =|2 F 4(q)| and Γ(G) = Γ(2 F 4(q)), then G ≅ 2 F 4(q). As a consequence of our result we give a new proof for a conjecture of W. Shi and J. Bi for 2 F 4(q). The third author was supported in part by a grant from IPM (No. 87200022). |
| |
| Keywords: | KeywordHeading" > and phrases quasirecognition prime graph simple group element order |
| 本文献已被 SpringerLink 等数据库收录！ |
|
