Locally solvable and solvable-by-finite maximal subgroups of GLn(D)
Khanh, Huynh Viet (Vietnam National University, Faculty of Mathematics and Computer Science)
Hai, Bui Xuan (Vietnam National University, Faculty of Mathematics and Computer Science)

Data:	2022
Resum:	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.
Nota:	This work is funded by Vietnam National University HoChiMinh City (VNUHCM) under grant number B2020-18-02.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Publicat a:	Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 77-97 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/396410
DOI: 10.5565/PUBLMAT6612203

21 p, 388.9 KB

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