Alladi Ramakrishnan Hall

Orbits of Pairs in Finite Modules Over Discrete Valuation Rings and Permutation Representations

Anilkumar C. P.

IMSc

Abstract: In this sequel we study the permutation representation of
the automorphism group on the orbits and prove that on certain type of
orbits the representation is multiplicity free. We also give counter
examples in the case of other orbit types.