#### Vol. 9, No. 4, 2016

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-4184 (e-only) ISSN: 1944-4176 (print) Author Index Coming Soon Other MSP Journals
Rings of invariants for the three-dimensional modular representations of elementary abelian $p$-groups of rank four

### Théo Pierron and R. James Shank

Vol. 9 (2016), No. 4, 551–581
##### Abstract

We show that the rings of invariants for the three-dimensional modular representations of an elementary abelian $p$-group of rank four are complete intersections with embedding dimension at most five. Our results confirm the conjectures of Campbell, Shank and Wehlau (Transform. Groups 18 (2013), 1–22) for these representations.

##### Keywords
modular invariant theory, elementary abelian $p$-groups
Primary: 13A50