Finite Subgroups of GL24(Q)

DOI10.1080/10586458.1996.10504587zbMath0870.20029OpenAlexW1602211811MaRDI QIDQ2785379

Gabriele Nebe

Publication date: 15 July 1997

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222608

zbMATH Keywords

integral latticesprimitive groupsmaximal finite irreducible subgroupsfinite rational linear groupslattices of minimal determinantvectors of minimal length

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Integral representations of finite groups (20C10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Other geometric groups, including crystallographic groups (20H15) Classical groups (11E57) Automorphism groups of lattices (11H56)

Related Items (8)

Modular lattices from a variation of construction A over number fields ⋮ Unnamed Item ⋮ Finite Symplectic Matrix Groups ⋮ Maximal integral forms of the algebraic group \(G_2\) defined by finite subgroups ⋮ The shadow theory of modular and unimodular lattices ⋮ The Hecke algebras for the Fricke groups ⋮ Finite quaternionic matrix groups ⋮ Zonal functions for the unitary groups and applications to Hermitian lattices.

Uses Software

• GAP

Cites Work

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• Definite unimodular lattices having an automorphism of given characteristic polynomial
• Finite unimodular groups of prime degree and circulants
• On crossed product orders.
• On the minimal degrees of projective representations of the finite Chevalley groups
• Computing isometries of lattices
• On the minimal degrees of projective representations of the finite Chevalley groups. II
• Transformations of a Quadratic Form Which Do Not Increase the Class-Number
• Constructing integral lattices with prescribed minimum. I
• On Integral Representations of Finite Groups
• The lattices of six-dimensional Euclidean space
• Endliche Gruppen I

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