This is a preview of subscription content, log in via an institution to check access.
References
L.Dornhoff, Group representation theory, part A. New York 1971.
B. B. Hargraves, The existence of regular orbits for nilpotent groups. J. Algebra72, 54–100 (1981).
J. F. Humphreys, Projective character tables for the finite simple groups of order less than one million. Comm. Algebra11, 725–751 (1983).
B.Huppert, Endliche Gruppen I. Berlin 1979.
B.Huppert and N.Blackburn, Finite groups II. Berlin 1982.
M.Isaacs, Character theory of finite groups. New York 1976.
M. Isaacs, Thep-parts of character degrees inp-solvable groups. Pacific J. Math.36, 677–691 (1971).
G.James and A.Kerber, The representation theory of the symmetric group. London 1981.
A. Kerber andM. H. Peel, On the decompositon number of symmetric and alternating groups. Mitt. Math. Sem. Uni. Gießen91, 45–81 (1971).
O.Manz, Endliche auflösbare Gruppen, deren sämtliche Charaktergrade Primzahlpotenzen sind. To appear in J. Algebra
J. McKay, The non-abelian simple groupsG, |G|<106, character tables. Comm. Algebra7, 1407–1445 (1979).
W.Müller, Darstellungstheorie von endlichen Gruppen. Stuttgart 1980.
J.Neubüser, (editor) Character tables of sporadic simple groups. Aachen 1983.
I. Schur, Über die Darstellungen der symmetrischen und alternierenden Gruppen durch gebrochene lineare Substitutionen. J. Math.139, 155–250 (1911).
A. Wagner, The faithful linear representations of least degree ofG n andU n over a field of characteristic 2. Math. Z.151, 127–137 (1976).
Author information
Authors and Affiliations
Additional information
This paper is a contribution to the research project “Darstellungstheorie von endlichen Gruppen und endlichdimensionalen Algebren” of the DFG.
Rights and permissions
About this article
Cite this article
Huppert, B., Manz, O. Degree-problems I squarefree character degrees. Arch. Math 45, 125–132 (1985). https://doi.org/10.1007/BF01270483
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01270483