Cross-characteristic character and fixed point space ratios for groups of Lie type

DOI10.1006/jabr.1997.7277zbMath0912.20009OpenAlexW2042931336WikidataQ115395914 ScholiaQ115395914MaRDI QIDQ1270990

Kay Magaard, David Gluck

Publication date: 21 March 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7277

zbMATH Keywords

parabolic subgroupsirreducible Brauer charactersgroups of Lie typeconnected reductive groupssemisimple elements

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Representations of finite groups of Lie type (20C33)

Related Items (3)

Eigenvalues of unipotent elements in cross-characteristic representations of finite classical groups. ⋮ Minimum polynomials of the elements of prime order in representations of quasi-simple groups. ⋮ Absolute Fourth Moments and Finiteness of Linear Groups

Uses Software

• GAP

Cites Work

• Character value estimates for groups of Lie type
• Character value estimates for non-semisimple elements
• Sharper character value estimates for groups of Lie type
• Minimal Degrees of Primitive Permutation Groups, with an Application to Monodromy Groups of Covers of Riemann Surfaces
• Generators for Finite Simple Groups, with Applications to Linear Groups
• On the structure of parabolic subgroups
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