3 papers
math.RA2023
Some applications of Gröbner-Shirshov bases to Lie algebras
Luis Mendonça
We show that if a countably generated Lie algebra does not contain isomorphic copies of certain finite-dimensional nilpotent Lie algebras and (satisfying some mild cond…
math.GR2022
Free polynilpotent groups and the Magnus property
Benjamin Klopsch, Luis Mendonça, Jan Moritz Petschick
Motivated by a classic result for free groups, one says that a group has the Magnus property if the following holds: whenever two elements generate the same normal subgroup of…
math.GR2019
Weak commutativity for pro- groups
Dessislava H. Kochloukova, Luís Mendonça
We define and study a pro- version of Sidki's weak commutativity construction. This is the pro- group generated by two copies and of a pro- g…