This research delves into the co-maximal subgroup graph of the integer modulo group, . Investigating the structural properties of this graph provides insights into the relationships among subgroups of . We explore the connectivity, patterns, and specific cases, offering a comprehensive analysis of this algebraic structure. Through a combination of group theory and graph theory, we aim to contribute to the broader understanding of subgroup interactions in cyclic groups.
Keywords: Co-maximal subgroups, cyclic groups, graph theory, group theory, integer modulo n, subgroup graph
