Iffat Jahan - Department of Mathematics, Ramjas College,, University of Delhi,, Delhi-۱۱۰۰۰۷, India
Naseem Ajmal - Department of Mathematics, Zakir Husain Delhi College,, J.N.Marg, University of Delhi, Delhi-۱۱۰۰۰۶, India

In this paper, we study the notion of solvable L-subgroup of an L-group and provide its level subset characterization and this justifies the suitability of this extension. Throughout this work, we have used normality of an L-subgroup of an L-group in the sense of Wu rather than Liu.

L-algebra, L-subgroup, Normal L-subgroup, Solvable L-subgroup, Derived series, Solvable series