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On real and rational representations of finite groups

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Publication:1194193
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DOI10.1016/S0021-8693(05)80049-3zbMath0795.20003MaRDI QIDQ1194193

Harvey I. Blau

Publication date: 27 September 1992

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


zbMATH Keywords

finite linear groupsfaithful representationclassification of finite simple groupssmall degreelinear characterfield of real numberscyclic Sylow \(p\)-subgroup


Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Finite simple groups and their classification (20D05) Representations of finite groups of Lie type (20C33) Other matrix groups over fields (20H20)




Cites Work

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  • The computations of some Schur indices
  • On Brauer stars
  • Minimal modular character degrees for groups with a cyclic Sylow subgroup
  • On linear groups with a cyclic or T.I. Sylow subgroup
  • On linear groups of degrees at most \(|{} P|{} -1\)
  • Automorphisms of symmetric balanced incomplete block designs
  • Character degrees of groups with a cyclic sylow subgroup
  • On Integral Representations of Finite Groups
  • Groups with a Cyclic Sylow Subgroup
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