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Noninner Automorphisms of Order p of Finite p-Groups

✍ Scribed by Marian Deaconescu; Gheorghe Silberberg

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 64 KB
Volume: 250
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9093

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✦ Synopsis

The main result of this paper shows that if G is a finite nonabelian p-group and if C G Z Φ G = Φ G , then G has a noninner automorphism of order p which fixes Φ G . This reduces the verification of the longstanding conjecture that every finite nonabelian p-group G has a noninner automorphism of order p to the degenerate case in which C G Z Φ G = Φ G .  2002 Elsevier Science (USA)

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