Locally solvable and solvable-by-finite maximal subgroups of GLn(D)

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Huynh Viet Khanh
Bui Xuan Hai

This paper aims to study solvable-by-finite and locally solvable maximal subgroups of an almost subnormal subgroup of the general skew linear group GLn(D) over a division ring D. It turns out that in the case where D is non-commutative, if such maximal subgroups exist, then either it is abelian or [D : F] < ∞. Also, if F is an infinite field and n ≥ 5, then every locally solvable maximal subgroup of a normal subgroup of GLn(F) is abelian.

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Khanh, Huynh Viet; Hai, Bui Xuan. «Locally solvable and solvable-by-finite maximal subgroups of GLn(D)». Publicacions Matemàtiques, 2022, vol.VOL 66, núm. 1, p. 77-97, http://raco.cat/index.php/PublicacionsMatematiques/article/view/396410.
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