Abstract

This research delves into the co-maximal subgroup graph of the integer modulo n group, N_n. Investigating the structural properties of this graph provides insights into the relationships among subgroups of N_n. 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.

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