A note on noninner automorphisms of order $p$ for finite $p$-groups of coclass 2
Group Theory
2013-06-13 v1
Abstract
In this note, the existence of noninner automorphisms of order 2 for finite 2-groups of coclass 2 is proved. Combining our result with a recent one due to Y. Guerboussa and M. Reguiat (see arXiv:1301.0085), we prove that every finite -group of coclass 2 has a noninner automorphism of order leaving the center elementwise fixed.
Keywords
Cite
@article{arxiv.1306.2649,
title = {A note on noninner automorphisms of order $p$ for finite $p$-groups of coclass 2},
author = {A. Abdollahi and S. M. Ghoraishi and B. Wilkens},
journal= {arXiv preprint arXiv:1306.2649},
year = {2013}
}