Title of article :
Groups of Prime Power Order Isomorphic to Their Automorphism Groups
Author/Authors :
Abdollahi ، Alireza Department of Pure Mathematics - Faculty of Mathematics and Statistics - University of Isfahan , Rahmani ، Nafiseh Department of Pure Mathematics - Faculty of Mathematics and Statistics - University of Isfahan
Abstract :
We show that there is no finite non-trivial p-group of coclass at most 4 except the dihedral group of order 8 which is isomorphic to its automorphism group.
Keywords :
Automorphism group , p , group , Coclass
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
