Extraspecial towers and Weil representations

DOI10.1016/0021-8693(92)90142-9zbMath0792.20021arXiv1405.7228OpenAlexW2962682777MaRDI QIDQ1204566

Stephen P. Glasby, Robert B. Howlett

Publication date: 29 March 1993

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

Full work available at URL: https://arxiv.org/abs/1405.7228

zbMATH Keywords

soluble groupssymplectic groupsWeil representationsunitary groupsirreducible representationsfinite groupderived lengthsplit extensionextraspecial \(p\)-groupsextraspecial tower

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Series and lattices of subgroups (20D30) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

The composition and derived lengths of a soluble group ⋮ Computing double cosets in soluble groups ⋮ CONSTRUCTIVE RECOGNITION OF NORMALIZERS OF SMALL EXTRA-SPECIAL MATRIX GROUPS

Cites Work

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• The composition and derived lengths of a soluble group
• Weil representations associated to finite fields
• Quadratic residue codes and symplectic groups
• Representations of symplectic groups
• On the Clifford collineation, transform and similarity groups. I.
• Endliche Gruppen I
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

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