Locally solvable subnormal subgroups in division rings
Khanh, Huynh Viet
arXiv, Tome 2019 (2019) no. 0, / Harvested from
Let $D$ be a division ring with center $F$. If $G$ is a locally solvable subnormal subgroup of $D^*$, then $G$ is contained in $F$. This generalizes the results of Stuth and Huzurbazar which asserted that any weakly nilpotent or solvable subnormal subgroup of $D^*$ is central.
Publié le : 2019-03-26
Classification:  Mathematics - Rings and Algebras,  16K20, 20F19 
@article{1903.11216,
     author = {Khanh, Huynh Viet},
     title = {Locally solvable subnormal subgroups in division rings},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1903.11216}
}

Khanh, Huynh Viet. Locally solvable subnormal subgroups in division rings. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1903.11216/