Locally solvable subnormal and quasinormal subgroups in division rings
Work
Year: 2021
Type: article
Abstract: Let $D$ be a division ring with center $F$, and $G$ a subnormal or quasinormal subgroup of $D^*$. We show that if $G$ is locally solvable, then $G$ is contained in $F$.
Source: Hiroshima Mathematical Journal
Authors Le Qui Danh, H. V. Khanh
Institutions Ho Chi Minh City University of Science, Ho Chi Minh City University of Architecture, Vietnam National University Ho Chi Minh City
Cites: 18
Cited by: 4
Related to: 10
FWCI: 1.784
Citation percentile (by year/subfield): 64.5
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold