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On the Existence of a Noninner Automorphism of Order p for p-Groups

โœ Scribed by L. Yu. Bodnarchuk; O. S. Pylyavs'ka


Book ID
110335437
Publisher
Springer
Year
2001
Tongue
English
Weight
153 KB
Volume
53
Category
Article
ISSN
0041-5995

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๐Ÿ“œ SIMILAR VOLUMES


Noninner Automorphisms of Order p of Fin
โœ Marian Deaconescu; Gheorghe Silberberg ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 64 KB

The main result of this paper shows that if G is a finite nonabelian p-group and if C G Z ฮฆ G = ฮฆ G , then G has a noninner automorphism of order p which fixes ฮฆ G . This reduces the verification of the longstanding conjecture that every finite nonabelian p-group G has a noninner automorphism of ord