Abstract
This paper aims to study 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.
Funding Statement
This work is funded by Vietnam National University HoChiMinh City (VNUHCM) under grant number B2020-18-02
Funding Statement
This work is funded by Vietnam National University HoChiMinh City (VNUHCM) under grant number B2020-18-02
Funding Statement
This work is funded by Vietnam National University HoChiMinh City (VNUHCM) under grant number B2020-18-02
Citation
Huynh Viet Khanh. Bui Xuan Hai. "Locally solvable and solvable-by-finite maximal subgroups of ." Publ. Mat. 66 (1) 77 - 97, 2022. https://doi.org/10.5565/PUBLMAT6612203
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