%0 Journal Article
%T Profinite just infinite residually solvable Lie algebras
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Villanis Ziani, Dario
%D 2023
%\ 12/01/2023
%V 12
%N 4
%P 253-264
%! Profinite just infinite residually solvable Lie algebras
%K just-infinite Lie algebras
%K profinite Lie algebras
%K residually solvable Lie algebras
%R 10.22108/ijgt.2022.130053.1734
%X We provide some characterization theorems about just infinite profinite residually solvable Lie algebras, similarly to what C. Reid has done for just infinite profinite groups. In particular, we prove that a profinite residually solvable Lie algebra is just infinite if and only if its obliquity subalgebra has finite codimension in the Lie algebra, and we establish a criterion for a profinite residually solvable Lie algebra to be just infinite, looking at the finite Lie algebras occurring in the inverse system.
%U https://ijgt.ui.ac.ir/article_26772_2b33a31566f445730af689d7f9c7233b.pdf