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. and 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
Fouladi,S. , and Orfi,R. . "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.
CHICAGO
S. Fouladi and 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,
VANCOUVER
Fouladi S., Orfi R. On the nilpotency class of the automorphism group of some finite
p-groups. BIMS, 2011; 37(No. 3): 281-289.
