### Counting characters in blocks, II.

Everettt C. Dade (1994)

Journal für die reine und angewandte Mathematik

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Everettt C. Dade (1994)

Journal für die reine und angewandte Mathematik

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Horváth, E. (1997)

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Rendiconti del Seminario Matematico della Università di Padova

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Everett C. Dade (1992)

Inventiones mathematicae

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Paul Fong, Bhama Srinivasan (1982)

Inventiones mathematicae

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Kim, K.H., Roush, F.W. (1997)

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Michel Broué, Lluis Puig (1980)

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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.

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.

Mariagrazia Bianchi, David Chillag, Emanuele Pacifici (2006)

Rendiconti del Seminario Matematico della Università di Padova

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Harald Ellers (1994)

Mathematische Zeitschrift

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Martin Marjoram (1997)

Extracta Mathematicae

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