RT - Journal Article
T1 - On Soluble-by-finite subgroups of valued division algebras
JF - khu-mmr
YR - 2023
JO - khu-mmr
VO - 9
IS - 3
UR - http://mmr.khu.ac.ir/article-1-3228-en.html
SP - 251
EP - 266
K1 - Division algebra
K1 - Soluble-by-finite group
K1 - Valuation
AB - 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.
LA eng
UL http://mmr.khu.ac.ir/article-1-3228-en.html
M3
ER -