11 citations · 40 across the 15 of their papers we have counts for
5 papers · 1 filter
Lower and Upper Lie Nilpotency Indices of Modular Group Algebras
Joe Gildea
We resolve the remaining cases of a longstanding problem on the lower and upper Lie nilpotency indices of modular group algebras. Equality of the two indices has been known in char…
New Extremal Binary Self-Dual Codes from Block Circulant Matrices and Block Quadratic Residue Circulant Matrices
Joe Gildea, Abidin Kaya, Rhian Taylor +2
In this paper, we construct self-dual codes from a construction that involves both block circulant matrices and block quadratic residue circulant matrices. We provide conditions wh…
New Self-Dual Codes from 2x2 Block Circulant Matrices, Group Rings and Neighbours of Neighbours
Joe Gildea, Abidin Kaya, Rhian Taylor +1
In this paper, we construct self-dual codes from a construction that involves 2x2 block circulant matrices, group rings and a reverse circulant matrix. We provide conditions whereb…
Zassenhaus Conjecture for Integral Group Rings of Simple Linear Groups
Joe Gildea
We prove that the Zassenhaus conjecture is true for and . This is a continuation of research initiated by W. Kimmerle, M. Hertweck and C. Höfert.
Unitary Units of The Group Algebra
Leo Creedon, Joe Gildea
The structure of the unitary unit group of the group algebra ${\F}_{2^k} Q_{8}$ is described as a Hamiltonian group.