Finite Primitive Linear Groups of Prime Degree

DOI10.1112/S0024610798005778zbMath0954.20012MaRDI QIDQ4265433

John D. Dixon, Alexander E. Zalesskij

Publication date: 22 November 2000

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

zbMATH Keywords

finite groups of Lie typefinite quasi-simple groupsfinite primitive linear groupsirreducible complex projective representations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Finite simple groups and their classification (20D05) Representations of finite groups of Lie type (20C33) Primitive groups (20B15) Other matrix groups over fields (20H20)

Related Items (14)

Minimally irreducible groups of prime degree ⋮ Finite imprimitive linear groups of prime degree. ⋮ On minimally irreducible groups of degree the product of two prime ⋮ On the permutation groups of cyclic codes ⋮ L. G. KOVÁCS AND LINEAR GROUPS ⋮ IRREDUCIBLE MONOMIAL LINEAR GROUPS OF DEGREE FOUR OVER FINITE FIELDS ⋮ An algorithm for constructing representations of finite groups. ⋮ On the integral and globally irreducible representations of finite groups ⋮ Periodic subgroups of projective linear groups in positive characteristic. ⋮ A variation on theorems of Jordan and Gluck. ⋮ Some aspects of finite linear groups: A survey ⋮ Some primitive linear groups of prime degree. ⋮ Coprime actions with all orbit sizes small ⋮ Finite groups over arithmetical rings and globally irreducible representations.

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