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Displaying similar documents to “Counting characters in blocks, II.”

The Ore conjecture

Martin Liebeck, E.A. O’Brien, Aner Shalev, Pham Tiep (2010)

Journal of the European Mathematical Society

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The Ore conjecture, posed in 1951, states that every element of every finite non-abelian simple group is a commutator. Despite considerable effort, it remains open for various infinite families of simple groups. In this paper we develop new strategies, combining character-theoretic methods with other ingredients, and use them to establish the conjecture.

On Artin's conjecture.

Christopher Hooley (1967)

Journal für die reine und angewandte Mathematik

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Goldbach conjecture.

H.A. Pogorzelski (1977)

Journal für die reine und angewandte Mathematik

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On Brauer’s Height Zero Conjecture

Gabriel Navarro, Britta Späth (2014)

Journal of the European Mathematical Society

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In this paper, the unproven half of Richard Brauer’s Height Zero Conjecture is reduced to a question on simple groups.