Nicolas F. Beike

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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…

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…