Simple groups and the two-prime hypothesis

DOI10.1007/s00605-015-0839-zzbMath1397.20015OpenAlexW2284209118MaRDI QIDQ344222

Mohammad Hasan, M. Dambrine

Publication date: 22 November 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-015-0839-z

zbMATH Keywords

finite groupscharacter degreessimple groupschief factors

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite simple groups and their classification (20D05)

Related Items (2)

The two-prime hypothesis: groups whose nonabelian composition factors are not isomorphic to \(\mathrm{PSL}_2(q)\) ⋮ Non-solvable groups and the two-prime hypothesis on conjugacy class sizes

Uses Software

• GAP
• Magma

Cites Work

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• Solvable groups satisfying the two-prime hypothesis. II.
• Solvable groups satisfying the two-prime hypothesis. I.
• Extensions of unipotent characters and the inductive McKay condition.
• Rational matrix groups of a special type
• Extending the Steinberg representation
• The representation theory of the symmetric groups
• The Magma algebra system. I: The user language
• Connectedness of degree graphs of nonsolvable groups.
• Nonsolvable groups satisfying the one-prime hypothesis.
• The number of irreducible character degrees of solvable groups satisfying the one-prime hypothesis.
• Character degree graphs that are complete graphs
• On the Number of Components of a Graph Related to Character Degrees
• On Ree's Series of Simple Groups
• The Characters of the Finite Symplectic Group Sp(4,q)
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• Nonsolvable groups with no prime dividing three character degrees.

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