@article {
author = {Villanis Ziani, Dario},
title = {Profinite just infinite residually solvable Lie algebras},
journal = {International Journal of Group Theory},
volume = {12},
number = {4},
pages = {253-264},
year = {2023},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2022.130053.1734},
abstract = {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.},
keywords = {just-infinite Lie algebras,profinite Lie algebras,residually solvable Lie algebras},
url = {https://ijgt.ui.ac.ir/article_26772.html},
eprint = {https://ijgt.ui.ac.ir/article_26772_2b33a31566f445730af689d7f9c7233b.pdf}
}