✦ LIBER ✦

Further Reflections on Thompson's Conjecture

✍ Scribed by Guiyun Chen

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 85 KB
Volume: 218
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7839

No coin nor oath required. For personal study only.

✦ Synopsis

Ž . Ä

< Let G be a finite group and let N G s n g N G has a conjugacy class C,

We have proved previously that: If M is a sporadic simple group or a simple group having its prime graph with at least three prime graph components, then Thompson's conjecture is correct. In this paper, we shall prove: Ž .

Ž . MAIN THEOREM. Let G be a finite group with Z G s 1 and M s G q or 2 Ž .

Ž . Ž . G 2 Ј, where q G 2, such that N G s N M . Then G ( M.

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