Finite groups with regular subgroup graph
Andrea Lucchini
Abstract
We prove that the subgroup graph of a finite group $G$ is regular if and only if $G$ is cyclic with square-free order.
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Finite groups with regular subgroup graph
Authors
Abstract
We prove that the subgroup graph of a finite group is regular if and only if is cyclic with square-free order.
Paper Structure
This paper contains 1 theorem, 3 equations.
Key Result
Theorem 1
Let $G$ be a finite group. Then $\Gamma(G)$ is a regular graph if and only if $G$ is cyclic and the order of $G$ is square-free.
Theorems & Definitions (13)
- Theorem 1
- Claim 1
- proof
- Claim 2
- proof
- Claim 3
- proof
- Claim 4
- proof
- Claim 5
- ...and 3 more