Abstract
Let D be a division ring with center F, and let G be an almost subnormal subgroup of . In this paper, we show that if G contains a non-abelian locally solvable maximal subgroup, then D must be a cyclic algebra of prime degree over F. Moreover, it is proved that every locally nilpotent maximal subgroup of G is abelian.
Citation
Huynh Viet Khanh. Bui Xuan Hai. "Locally solvable maximal subgroups in division rings." Kyoto J. Math. 64 (1) 245 - 260, February 2024. https://doi.org/10.1215/21562261-2023-0017
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