Roche, AlanMadsen, Thomas Laebel2014-07-092014-07-092014-08-15http://hdl.handle.net/11244/10447In this dissertation we determine the reducibility of certain induced representations. We do this using Bushnell and Kutzko's method of types and covers. We consider certain quaternionic hermitian groups over a $p$-adic field. While the types and covers can be found in the literature, the computation of the associated Hecke algebras has not been done before.Mathematics.