Year: 2023
Type: article
Abstract: Let D be a division ring with center F, and let G be an almost subnormal subgroup of D∗. 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.
Source: Kyoto journal of mathematics
Authors: Huynh Viet Khanh, Bui Xuan Hai
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4389201287