The Normalizer Property for Finite Groups Whose Sylow 2-Subgroups are Abelian

Coleman Automorphisms of Some Metabelian Groups

“…In [2], Krempa proved that Out Z (F) is a 2-group. us, if we show that Out Col (F) is a group of odd order or Aut Col (F) Inn(F) under some conditions, then Aut Z (F) Inn(F), that is, the normalizer problem holds for F. Related results on this subject can be found in [3][4][5][6][7][8][9]. e purpose of this study is to determine the structure of the Coleman automorphism groups of some metabelian groups.…”