Minimally irreducible groups of prime degree

DOI10.1017/S0004972700018815zbMath0973.20042MaRDI QIDQ4522527

Francesca Dalla Volta, Lino Di Martino

Publication date: 28 August 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

monomial groupsprimitive groupsminimally irreducible subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Subgroup theorems; subgroup growth (20E07) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representations of finite groups of Lie type (20C33) Primitive groups (20B15) Other matrix groups over fields (20H20)

Related Items (1)

MINIMAL IRREDUCIBILITY AND THE UNIPOTENT CHARACTERS OF GROUPS OF TYPE B_m AND C_m

Cites Work

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• Permutation representations and a fragment of the decomposition matrix of symplectic and special linear groups over a finite field
• On the minimal degrees of projective representations of the finite Chevalley groups
• Weil representations associated to finite fields
• Some generalizations of the Weil representations of the symplectic and unitary groups
• Über endliche lineare Gruppen von Primzahlgrad. (On finite linear groups of prime number degree)
• Representations of symplectic groups
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Some Representations of Classical Groups
• Finite Primitive Linear Groups of Prime Degree
• Endliche Gruppen I
• On the Character of Weil's Representation

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