5 papers
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…
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…
When are permutation invariants Cohen-Macaulay?
H. E. A. Campbell, David L. Wehlau
Over a field of characteristic 0, every ring of invariants of a finite group is Cohen-Macaulay. This is not true for fields of positive characteristic. We consider permutation repr…
Rings of invariants for modular representations of elementary abelian p-groups
H. E. A. Campbell, R. J. Shank, D. L. Wehlau
We initiate a study of the rings of invariants of modular representations of elementary abelian p-groups. With a few notable exceptions, the modular representation theory of an ele…
Vector invariants for the two dimensional modular representation of a cyclic group of prime order
H. E. A. Campbell, R. J. Shank, D. L. Wehlau
In this paper, we study the vector invariants, , of the 2-dimensional indecomposable representation of the cylic group, , of order over a fiel…