The intersection subgroup graph of a group

Abstract Let G be a group. In this paper, we introduce and study the intersection subgroup graph of G as the (simple) graph with vertices the nontrivial subgroups H of G such that for some nontrivial subgroup K of G, and distinct vertices H and K are adjacent if and only if . We investigate when is a nonempty, finite, complete, complete bipartite, or planar graph.

• Publication year

  2023

• Venue

  Communications in Algebra

• Publication date

  2023-03-15

• Fields of study

  Not labeled

• Identifiers
  DOI 10.1080/00927872.2023.2186146
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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