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papers

Publications (3)

math.GR2024

The Commuting Graph of a Solvable A-Group

Rachel Carleton, Mark Lewis

Let $G$ be a finite group. Recall that an $A$ -group is a group whose Sylow subgroups are all abelian. In this paper, we investigate the upper bound on the diameter of the commuting…

math.GR2021

Extending Morgan and Parker's results about commuting graphs

Nicolas F. Beike, Rachel Carleton, David G. Costanzo +4

Morgan and Parker have proved that if $G$ is a group satisfying the condition that $Z (G) = 1$ , then the connected components of the commuting graph of $G$ have diameter at most $10…

math.GR2024

Finite solvable tidy Groups whose orders are divisible by two primes

Nicolas F. Beike, Rachel Carleton, David G. Costanzo +4

In this paper, we investigate finite solvable tidy groups. We classify the tidy ${p, q}$ -groups. Combining this with a previous result, we are able to characterize the finite t…