12 citations · 30 across the 20 of their papers we have counts for
20 papers
Nilpotent primitive linear groups over finite fields
A. S. Detinko, D. L. Flannery
We provide a detailed structural description of the nilpotent primitive subgroups of , where is a finite field.
Zariski density and computing with -integral groups
A. S. Detinko, D. L. Flannery, A. Hulpke
We generalize our methodology for computing with Zariski dense subgroups of and , to accommodate input dense subgroups …
Generalized partially bent functions, generalized perfect arrays and cocyclic Butson matrices
José Andrés Armario, Ronan Egan, Dane Flannery
In a recent survey, Schmidt compiled equivalences between generalized bent functions, group invariant Butson Hadamard matrices, and abelian splitting relative difference sets. We e…
Freeness and -arithmeticity of rational Möbius groups
A. S. Detinko, D. L. Flannery, A. Hulpke
We initiate a new, computational approach to a classical problem: certifying non-freeness of (-generator, parabolic) Möbius subgroups of . The main to…
Locally nilpotent linear groups
A. S. Detinko, D. L. Flannery
We survey aspects of locally nilpotent linear groups. Then we obtain a new classification; namely, we classify the irreducible maximal locally nilpotent subgroups of $\mathrm{GL}(q…
Algorithms for computing with nilpotent matrix groups over infinite domains
A. S. Detinko, D. L. Flannery
We develop methods for computing with matrix groups defined over a range of infinite domains, and apply those methods to the design of algorithms for nilpotent groups. In particula…