Locally solvable and solvable-by-finite maximal subgroups of $GL_n(D)$
Rings and Algebras
2021-12-21 v4
Abstract
This paper aims at studying solvable-by-finite and locally solvable maximal subgroups of an almost subnormal subgroup of the general skew linear group over a division ring . It turns out that in the case where is non-commutative, if such maximal subgroups exist, then either it is abelian or . Also, if is an infinite field and , then every locally solvable maximal subgroup of a normal subgroup of is abelian.
Keywords
Cite
@article{arxiv.1903.10868,
title = {Locally solvable and solvable-by-finite maximal subgroups of $GL_n(D)$},
author = {Huynh Viet Khanh and Bui Xuan Hai},
journal= {arXiv preprint arXiv:1903.10868},
year = {2021}
}
Comments
Accepted for publication in Publicacions Matem\`atiques (UAB)