2 papers
math.GR2018
Normal subgroups in the group of column-finite infinite matrices
Waldemar Hołubowski, Martyna Maciaszczyk, Sebastian Żurek
The classical result, due to Jordan, Burnside, Dickson, says that every normal subgroup of ( - a field, ) which is not contained in the center, contains $SL…
math.RA2018
Lie algebra of column-finite infinite matrices: ideals and derivations
Waldemar Hołubowski, Sebastian Żurek
In this paper we shall consider the Lie algebra of column-finite infinite matrices indexed by positive integers , describe the lattice of its ideals for arbitrary field…