Profinite just infinite residually solvable Lie algebras
نویسندگان
1 Department of Psychology, Shahid Beheshti University, Tehran, Iran
2 Department of Psychology, Shahid Beheshti University, Tehran, Iran
3 Department of Psychology, Shahid Beheshti University, Tehran, Iran
4 Department of Family Health, Shahid Beheshti University, Tehran, Iran
doi
10.22108/ijgt.2022.130053.1734چکیده
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.
