activity
20052025
most citedRings of invariants for modular representations of the Klein four group

5 citations · 10 across the 10 of their papers we have counts for

collaborators

11 papers

math.AC2025

Invariants of the finite orthogonal groups in odd dimension and even characteristic

H. E. A. Campbell, R. J. Shank, D. L. Wehlau

We describe the ring of invariants for the finite orthogonal groups in odd dimension and even characteristic acting on the defining representation. We construct a minimal algebra g…

math.AC2024

Invariants of Finite Orthogonal Groups of Plus Type in Odd Characteristic

H. E. A. Campbell, R. James Shank, David L. Wehlau

We describe the rings of invariants for the finite orthogonal groups of plus type in odd characteristic acting on the defining representations. We also describe the invariants of t…

math.AC2019

Modular invariants of finite gluing groups

Yin Chen, R. James Shank, David L. Wehlau

We use the gluing construction introduced by Jia Huang to explore the rings of invariants for a range of modular representations. We construct generating sets for the rings of inva…

math.AC2016

Representations of elementary abelian p-groups and finite subgroups of fields

H. E. A. Campbell, J. Chuai, R. J. Shank +1

Suppose is a field of prime characteristic and is a finite subgroup of the additive group . Then is an elementary abelian -group. We con…

math.AC2014★ 4 cited

Rings of invariants for the three dimensional modular representations of elementary abelian -groups of rank four

Théo Pierron, R. J. Shank

We show that the rings of invariants for the three dimensional modular representations of an elementary abelian -group of rank four are complete intersections with embedding dim…

math.AC2013★ 5 cited

Rings of invariants for modular representations of the Klein four group

M. Sezer, R. J. Shank

We study the rings of invariants for the indecomposable modular representations of the Klein four group. For each such representation we compute the Noether number and give minimal…