@article {
author = {Fouladi, S. and Orfi, R.},
title = {On the nilpotency class of the automorphism group of some finite
p-groups},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {37},
number = {No. 3},
pages = {281-289},
year = {2011},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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.},
keywords = {Finite p-group,automorphism group,nilpotency class},
url = {http://bims.iranjournals.ir/article_365.html},
eprint = {http://bims.iranjournals.ir/article_365_cf69e5755ef787ecc4678fb8887eef0b.pdf}
}