Carter subgroups in finite groups

✍ Scribed by M.C. Tamburini; E.P. Vdovin

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 155 KB
• Volume: 255
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(02)00120-5

✦ Synopsis

Let F be the class of finite groups which contain nonconjugate Carter subgroups and assume that F is nonempty. Then it has been shown that a member of F, of minimal order, should be an almost simple group A. In this paper, using CFSG, we restrict the possibilities for such A: in particular we show that A cannot be simple, except possibly when it is a unitary group.