journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-1943 An investigation on a fewproperties of the subgroup lattice of 2 × 2 matrices over z11 Murugan V. Durai Department of Mathematics, Vaikalipatti, St. Joseph College of Arts and Science, Tenkasi, Tamil Nadu, India Gnanam R. Glory Deva Department of Mathematics, Vaikalipatti, St. Joseph College of Arts and Science, Tenkasi, Tamil Nadu, India Seethalakshmi R. Department of Mathematics, Nallur, CSI Jayaraj Annapackiam College, Tenkasi, Tamil Nadu, India 27 5 1133 1139 30 08 2024

In this article, the properties of the subgroup lattice of the group of  2 × 2 matrices over Z11 like modularity, semi modularity, super modularity distributivity, consistency, the GD condition, pseudo complemented and super solvability have been validated.

 Lattice Subgroup lattice Lattice properties access open retracted no