38 citations · 154 across the 58 of their papers we have counts for
4 papers · 2 filters
The Cyclic Graph of a -Frobenius Group
David G. Costanzo, Mark L. Lewis
The cyclic graph of a group is the graph whose vertices are the nonidentity elements of and whose edges connect distinct elements and if and only if the subgroup $\…
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 is a group satisfying the condition that , then the connected components of the commuting graph of have diameter at most $10…
Partial GVZ-groups
Shawn T. Burkett, Mark L. Lewis
Following the literature, a group is called a group of central type if has an irreducible character that vanishes on . Motivated by this definition, we say…
A characterization of GVZ groups in terms of fully ramified characters
Shawn T. Burkett, Mark L. Lewis
In this paper, we obtain a characterization of GVZ-groups in terms of commutators and monolithic quotients. This characterization is based on counting formulas due to Gallagher.