Supercharacters and pattern subgroups in the upper triangular groups
Abstract
Let Un(q) denote the upper triangular group of degree n over the finite field q with q elements. It is known that irreducible constituents of supercharacters partition the set of all irreducible characters (Un(q)). In this paper we present a correspondence between supercharacters and pattern subgroups of the form Uk(q) wUk(q) where w is a monomial matrix in GLk(q) for some k<n.
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