SUPERCHARACTERS AND PATTERN SUBGROUPS IN THE UPPER TRIANGULAR GROUPS

Abstract LetUn(q) denote the upper triangular group of degree nover the finite field Fq withq elements. It is known that irreducible constituents of supercharacters partition the set of all irreducible characters Irr(Un(q)). In this paper we present a correspondence between supercharacters and pattern subgroups of the formUk(q)∩wUk(q), wherewis a monomial matrix in GLk(q) for somek<n

http://link.springer.com/article/10.1007/s10801-011-0293-5
http://repository.vnu.edu.vn/handle/VNU_123/32926