Cyclic Subgroup Graph of a Group
Khyati Sharma, A. Satyanarayana Reddy

TL;DR
This paper investigates the properties of cyclic subgroup graphs of groups, focusing on their structure and characteristics, expanding understanding of subgroup relationships within group theory.
Contribution
It introduces new analyses of cyclic subgroup graphs, building on Mrnuceanu's edge-count formula to explore their properties and structure.
Findings
Characterization of cyclic subgroup graph properties
Relationships between subgroup structure and graph features
Extensions of previous edge-count results
Abstract
A cyclic subgroup graph of a group is a graph whose vertices are cyclic subgroups of and two distinct vertices and are adjacent if , and there is no subgroup such that . M.T\u{a}rn\u{a}uceanu gave the formula to count the number of edges of these graphs. In this paper, we explore various properties of these graphs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFinite Group Theory Research · graph theory and CDMA systems
