Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X37No. 320110915On the nilpotency class of the automorphism group of some finite
p-groups281289365ENS.FouladiR.OrfiJournal Article20100118Let $G$ be a $p$-group of order $p^n$ and $Phi$=$Phi(G)$ be the
Frattini subgroup of $G$. It is shown that the nilpotency class of
$Autf(G)$, the group of all automorphisms of $G$ centralizing $G/
Fr(G)$, takes the maximum value $n-2$ if and only if $G$ is of
maximal class. We also determine the nilpotency class of
$Autf(G)$ when $G$ is a finite abelian $p$-group.http://bims.iranjournals.ir/article_365_cf69e5755ef787ecc4678fb8887eef0b.pdf