Representing the Sporadic Groups as Noncentral Automorphisms ofp-Groups

✍ Scribed by Panagiotis C. Soules; Andrew J. Woldar

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 112 KB
• Volume: 185
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.0324

✦ Synopsis

DEDICATED TO H. HEINEKEN ON THE OCCASION OF HIS

60TH BIRTHDAY w Ž .

x In Heineken and Liebeck Arch. Math. 25 1974 , 8᎐16 it is proved that for every finite group K and odd prime p, there exists a p-group G of nilpotence class 2 and exponent p 2 on which K acts as the full group of noncentral automorphisms. The authors investigate this problem under the additional requirement that Ž . GrZ G be representation space for the p-modular regular representation of K. In particular, they prove that every sporadic simple group K can be so represented for any odd prime p.