Flannery, D2015-12-130218-1967http://hdl.handle.net/1885/87185We describe an algorithm for explicitly listing the irreducible monomial subgroups of GL(n, q), given a, suitable list of finite irreducible monomial subgroups of GL(n, ℂ), where n is 4 or a prime, and q is a prime power. Particular attention is paid toKeywords: Computing lists of irreducible linear groups; Monomial linear groupIrreducible monomial linear groups of degree four over finite fields200410.1142/S02181967040017362016-02-24