Schur indices of some groups of Lie type

DOI10.1016/0021-8693(76)90029-6zbMath0352.20013OpenAlexW1974333292WikidataQ115367638 ScholiaQ115367638MaRDI QIDQ1235765

Roderick Gow

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90029-6

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30)

Related Items

The orthogonal character table of \(\mathrm{SL}_{2}(q)\), Real and strongly real classes in PGL n (q) and quasi-simple covers of PSL n (q), Morita equivalence for blocks of finite general linear groups, Schur indices and \(3D_ 4(q^ 3)\), q odd, On the Schur indices of certain irreducible characters of simple algebraic groups over finite fields, Characters of some finite groups of Lie type with a restriction containing a linear character once., Unnamed Item, On the automorphism group of rational group algebras of finite groups, Orthogonal determinants of \({\mathrm{SL}}_3(q)\) and \({\mathrm{SU}}_3(q)\), Low-Dimensional Representations of Quasi-Simple Groups, Group Representations and Lattices, On the upper bounds of the Schur indices of simple finite groups of Lie type, Subgroup isomorphism problem for units of integral group rings, Quasi-permutation representations of the group \(\text{GL}_2(q)\), Duality, central characters, and real-valued characters of finite groups of Lie type., Integral group rings with all central units trivial: solvable groups, A computational approach to the Frobenius–Schur indicators of finite exceptional groups, The Schur indices of the irreducible characters of the special linear groups, Lattices in the cohomology of Shimura curves, Constructing representations of higher degrees of finite simple groups and covers, Schur indices of sympletic groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Realisierung von Darstellungen endlicher nilpotenter Gruppen. (Realization of representations of finite-dimensional nilpotent groups)
• On Schur's index and the solutions of \(G^ n=1\) in a finite group
• Schur indices and modular representations
• Real-valued characters and the Schur index
• Irreducible odd representations of PSL(n,q)
• The characters of the finite symplectic group Sp(4,q), q=2\(^f\)
• Simple Components of Q[SL(2,q)]
• On Ree's Series of Simple Groups
• A Note on the Brauer-Speiser Theorem
• The Characters of the Finite Symplectic Group Sp(4,q)
• Endliche Gruppen I
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• On the conjugacy classes in the unitary, symplectic and orthogonal groups
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)
• A Geometric Approach to the Representations of the Full Linear Group Over a Galois Field
• On a class of doubly transitive groups