• On sM-Group
Guan Aun How
Abstract. A subnormally monomial group (abbreviated sM-group) is a finite group all whose irreducible complex characters are induced from linear characters of some subnormal subgroups. It has been conjectured that the derived length of such groups is bounded by a constant. This paper gives a negative answer. An sM-group of derived length 5 is constructed and we believe that the same method can be used to construct sM-group of arbitrary derived length.