✦ LIBER ✦

On Thompson's Conjecture

✍ Scribed by Chen Guiyun

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 148 KB
Volume: 185
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0320

No coin nor oath required. For personal study only.

✦ Synopsis

Ž . Ä < Let G be a finite group and N G s n g N G has a conjugacy class C, such < < 4 that C s n . Professor J. G. Thompson has conjectured that ''If G be a finite Ž . Ž . group with Z G s 1 and M a nonabelian simple group satisfying that N G s Ž . N M , then G ( M.'' We have proved that if M is a sporadic simple group, then Thompson's conjecture is correct. In this paper, we shall further prove that if M is a finite simple group having at least three prime graph components, then the conjecture is also correct. G G G

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