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Spring 2011

Miersma, Jonathan

A flag of a finite dimensional vector space V is a nested sequence of subspaces of V . The symplectic group of V acts on the set of flags of V . We classify the orbits of this action by defining the incidence matrix of a flag of V and show- ing that two flags are in the same orbit precisely when...

Fall 2009

Pasanen, Trevor

In this paper we find irreducible characters of G=SL(k,Z/p^nZ) where n >= 2, k=2,3 and, p is an odd prime. In the case k=2 we give a construction for every irreducible character of G without calculating the character values. Our method is based on finding a normal subgroup of G and applying...