Decomposing symmetric powers of certain modular representations of cyclic groups

preprint

Abstract:
For a prime number  p, we construct a generating set for the ring of invariants for the p+1 dimensional 
indecomposable modular representation of a cyclic group of order p^2. We then use the constructed invariants
to describe the decomposition of the symmetric algebra as a module over the group ring, confirming
the Periodicity Conjecture of Ian Hughes and Gregor Kemper for this case.

Authors:
R.J. Shank, University of Kent
D.L. Wehalau, Royal Military College of Canada