TY - JOUR AU - Suhas P. Gade, PY - 2020/06/04 Y2 - 2024/03/19 TI - Double Domination Number of Subgroup Lattice of a Group JF - International Journal of Advanced Science and Technology JA - IJAST VL - 29 IS - 12s SE - Articles DO - UR - http://sersc.org/journals/index.php/IJAST/article/view/24461 SP - 2330 - 2341 AB - A subgroup lattice  is a diagram that includes all the subgroups of the  group  and then if  and  are subgroups of  with  and there is no subgroup  such that , then  appear above  and a segment is drawn connecting  and . The graph of subgroups lattice is denoted by . A subset  of  is double dominating set of  if for every vertex , , that is  in  and has at least one neighbour in  or  and has at least two neighbours in . The double domination number  in subgroup lattice  is a minimum cardinality of double dominating set. In this paper some upper and sharp bounds on  are obtained   ER -