University of Isfahan International Journal of Group Theory 2251-7650 6 3 2017 09 01 Finite $2$-groups of class $2$ with a specific automorphism group 1 4 20362 10.22108/ijgt.2017.20362 EN Marzieh Ahmadi University of Isfahan S. Mohsen Ghoraishi Shahid Chamran university of Ahvaz Journal Article 2016 04 26 ‎‎In this paper we determine all finite $2$-groups of‎ ‎class $2$ in which every automorphism of order $2$ leaving the Frattini subgroup elementwise fixed is inner‎. ‎‎Finite $p$-group of class $2$‎ ‎non-inner automorphism‎ ‎Frattini subgroup https://ijgt.ui.ac.ir/article_20362_2ad6e4d061e43064bb40cf6fd363382b.pdf