A note on normal maximal subgroups in Mal'cev-Neumann division rings

Authors

https://doi.org/10.15330/cmp.16.2.587-592

Keywords:

division ring, Mal'cev-Neumann division ring, maximal subgroup, normal maximal subgroup
Published online: 2024-12-29

Abstract

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.

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Danh, L.; Deo, T. A Note on Normal Maximal Subgroups in Mal’cev-Neumann Division Rings. Carpathian Math. Publ. 2024, 16, 587-592.