Quasirecognition by prime graph of finite simple groups L
n
(2) and U
n
(2) |
| |
Authors: | Behrooz Khosravi Hossein Moradi |
| |
Institution: | 1. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box: 19395?C5746, Tehran, Iran 2. Dept. of Pure Math., Faculty of Math. and Computer Sci., Amirkabir University of Technology (Tehran Polytechnic), 424, Hafez Ave., Tehran, 15914, Iran
|
| |
Abstract: | Let G be a finite group. The prime graph ??(G) of G is defined as follows. The vertices of ??(G) are the primes dividing the order of G and two distinct vertices p, p?? are joined by an edge if G has an element of order pp??. Let L=L n (2) or U n (2), where n?R17. We prove that L is quasirecognizable by prime graph, i.e. if G is a finite group such that ??(G)=??(L), then G has a unique nonabelian composition factor isomorphic to L. As a consequence of our result we give a new proof for the recognition by element orders of L n (2). Also we conclude that the simple group U n (2) is quasirecognizable by element orders. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|