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.
Fouladi, S., & Orfi, R. (2011). On the nilpotency class of the automorphism group of some finite
p-groups. Bulletin of the Iranian Mathematical Society, 37(No. 3), 281-289.
MLA
S. Fouladi; R. Orfi. "On the nilpotency class of the automorphism group of some finite
p-groups". Bulletin of the Iranian Mathematical Society, 37, No. 3, 2011, 281-289.
HARVARD
Fouladi, S., Orfi, R. (2011). 'On the nilpotency class of the automorphism group of some finite
p-groups', Bulletin of the Iranian Mathematical Society, 37(No. 3), pp. 281-289.
VANCOUVER
Fouladi, S., Orfi, R. On the nilpotency class of the automorphism group of some finite
p-groups. Bulletin of the Iranian Mathematical Society, 2011; 37(No. 3): 281-289.
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