An Application of Maximality to Nilpotent and Finitely Generated L-Subgroups of an L-Group

This paper is a continuation of the study on maximal and Frattini L-subgroups of an L-group. The normality of the maximal L-subgroups of a nilpotent L-group is explored. Then, the concept of finitely generated L-subgroup is introduced and its relation with maximal condition on L-subgroups is established. Thereafter, several results pertaining to the notions of Frattini L-subgroup and finitely generated L-subgroups have been investigated.