AU - Motiee, Mehran
TI - On Soluble-by-finite subgroups of valued division algebras
PT - JOURNAL ARTICLE
TA - khu-mmr
JN - khu-mmr
VO - 9
VI - 3
IP - 3
4099 - http://mmr.khu.ac.ir/article-1-3228-en.html
4100 - http://mmr.khu.ac.ir/article-1-3228-en.pdf
SO - khu-mmr 3
ABĀ - In this paper we show that if D is a valued F-central division algebra such that its residue division ring is a field, then each soluble-by-finite subgroup of its multiplicative group is soluble with derived length at most 3. We also prove that in some special cases the above bound for the length of the derived series is at most 2. Finally, using some examples we show that if the the residue division ring is not a field then the above resuklts are not true.
CP - IRAN
IN - Babol Noshirvani University of Technology
LG - eng
PB - khu-mmr
PG - 251
PT - Original Manuscript
YR - 2023