On
sM-Group
Bulletin of the Malaysian Mathematical Society, Tome 26 (2003) no. 1
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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.
@article{BMMS_2003_26_1_a8,
author = {Guan Aun How},
title = {On
{sM-Group}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2003},
volume = {26},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2003_26_1_a8/}
}
Guan Aun How. On
sM-Group. Bulletin of the Malaysian Mathematical Society, Tome 26 (2003) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2003_26_1_a8/