A note on normal maximal subgroups in Mal'cev-Neumann division rings
The aim of this paper is to describe normal maximal subgroups of the unit groups of Mal'cev-Neumann division rings. As a corollary, we affirmatively answer the conjecture posed in [Akbari S., Mahdavi-Hezavehi M. On the existence of normal maximal subgroups in division rings. J. Pure Appl. Algebra 2002, 171 (2$-$3), 123$-$131] regarding Mal'cev-Neumann division rings of noncyclic free groups.
Authors
- Le Qui Danh (ORCID: https://orcid.org/0000-0002-1429-8595)
- Trinh Thanh Deo (ORCID: https://orcid.org/0000-0003-1978-9120)
Institutions
- Vietnam National University Ho Chi Minh City (VN)
- Ho Chi Minh City University of Architecture (VN)
Publication Details
- Journal
- Carpathian Mathematical Publications
- Published
- 2024-12-29
- DOI
- https://doi.org/10.15330/cmp.16.2.587-592
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Bộ Giáo dục và Ðào tạo
- Vietnam Institute for Advanced Study in Mathematics