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The \(k(GV)\) conjecture for modules in characteristic 31

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Publication:1602020
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DOI10.1006/jabr.2001.9109zbMath1007.20009OpenAlexW1975193629WikidataQ123345282 ScholiaQ123345282MaRDI QIDQ1602020

Kay Magaard, David Gluck

Publication date: 1 January 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9109


zbMATH Keywords

finite solvable groupsnumbers of conjugacy classesimprimitive modulesfaithful irreducible modules\(k(B)\)-problemBrauer's \(k(GV)\)-conjecture


Mathematics Subject Classification ID

Modular representations and characters (20C20)


Related Items (4)

The solution of the \(k(GV)\)-problem. ⋮ Real vectors for linear groups and the \(k(GV)\)-problem ⋮ Generation of finite almost simple groups by conjugates. ⋮ Signed permutation modules, Singer cycles and class numbers



Cites Work

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  • Further reductions for the \(k(GV)\)-problem
  • Upper bounds for the number of conjugacy classes of a finite group
  • On the extraspecial case of the \(k(GV)\)-conjecture
  • On Brauer's \(k(B)\)-problem
  • The quasisimple case of the \(k(GV)\)-conjecture
  • The extraspecial case of the 𝑘(𝐺𝑉) problem
  • Character correspondences in solvable groups




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