Peer-Reviewed Journal Details
Mandatory Fields
Flannery, DL
2004
June
International Journal Of Algebra And Computation
Irreducible monomial linear groups of degree four over finite fields
Published
()
Optional Fields
monomial linear group computing lists of irreducible linear groups SUBGROUPS
14
253
294
We 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 to the case n = 4, and the algorithm is illustrated for n = 4 and q = 5. Certain primitive permutation groups can be constructed from a list of irreducible monomial subgroups of GL(n, q). The paper's final section shows that the computation of automorphisms of such permutation groups reduces mainly to computation of irreducible monomial subgroups of GL(n, q), q prime.
Grant Details
Publication Themes