%0 Journal Article
%T On the nilpotency class of the automorphism group of some finite
p-groups
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Fouladi, S.
%A Orfi, R.
%D 2011
%\ 09/15/2011
%V 37
%N No. 3
%P 281-289
%! On the nilpotency class of the automorphism group of some finite
p-groups
%K Finite p-group
%K automorphism group
%K nilpotency class
%R
%X Let $G$ 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.
%U http://bims.iranjournals.ir/article_365_cf69e5755ef787ecc4678fb8887eef0b.pdf