TY - JOUR
ID - 26772
TI - Profinite just infinite residually solvable Lie algebras
JO - International Journal of Group Theory
JA - IJGT
LA - en
SN - 2251-7650
AU - Villanis Ziani, Dario
AD - Department of Mathematics and Computer Science “U. Dini”, Università degli Studi di Firenze, viale Morgagni 67/A,
50134, Florence, Italy
Y1 - 2023
PY - 2023
VL - 12
IS - 4
SP - 253
EP - 264
KW - just-infinite Lie algebras
KW - profinite Lie algebras
KW - residually solvable Lie algebras
DO - 10.22108/ijgt.2022.130053.1734
N2 - 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.
UR - https://ijgt.ui.ac.ir/article_26772.html
L1 - https://ijgt.ui.ac.ir/article_26772_2b33a31566f445730af689d7f9c7233b.pdf
ER -