Invariant hermitian lattices in the steinberg module and their isometry groups

DOI10.1080/00927879708826010zbMath0888.11025OpenAlexW2029073461MaRDI QIDQ4349720

Kanat S. Abdukhalikov

Publication date: 27 May 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708826010

zbMATH Keywords

automorphism groupsisometry groupsSteinberg moduleHermitian latticeEisenstein integers

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Ordinary representations and characters (20C15) Automorphism groups of lattices (11H56)

Related Items (3)

Unimodular Hermitian lattices in dimension 13. ⋮ Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers ⋮ Doubly transitive groups and lattices

Cites Work

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• Group rings of finite groups over p-adic integers
• On the minimal degrees of projective representations of the finite Chevalley groups
• Some lattices over \(Q(\sqrt{-3})^*\)
• Minimal degree for a permutation representation of a classical group
• On the minimal degrees of projective representations of the finite Chevalley groups. II
• Group Representations and Lattices
• The Modular Permutation Representations of the Known Doubly Transitive Groups
• Generalized quadratic residue codes
• INVARIANT LATTICES IN THE STEINBERG MODULE AND THEIR ISOMETRY GROUPS
• Finite Unitary Reflection Groups

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