The blocks of finite classical groups.
Paul Fong, Bhama Srinivasan (1989)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “The Alperin-McKay conjecture holds in the covering groups of symmetric and alternating groups, p ... 2.”
The blocks of finite classical groups.
On characters of coprime operator groups and the Glaubermann character correspondence.
Brian Hartley, Alexandre Turull (1994)
Journal für die reine und angewandte Mathematik
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The defect groups of a clique, p-solvable groups, and Alperin's conjecture.
Harald Ellers (1995)
Journal für die reine und angewandte Mathematik
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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.
Constituents of the product of characters in odd order groups.
Gabriel Navarro (1995)
Journal für die reine und angewandte Mathematik
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Counting characters in blocks, II.
Everettt C. Dade (1994)
Journal für die reine und angewandte Mathematik
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On the Number of Characters in Blocks of Finite General Linear, Unitary and Symmetric Groups.
Jorn B. Olsson (1984)
Mathematische Zeitschrift
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Relative Brauer groups. III.
Murray Schacher, Burton Fein (1982)
Journal für die reine und angewandte Mathematik
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Subpair multiplicities in finite groups.
Michel Broué, Jorn B. Olsson (1986)
Journal für die reine und angewandte Mathematik
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Relative Brauer Groups. I.
B. Fein, M. Schacher (1981)
Journal für die reine und angewandte Mathematik
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On Gel'fand-Graev characters of reductive groups with disconnected centre.
G.I. Lehrer, J. Michel, F. Digne (1997)
Journal für die reine und angewandte Mathematik
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Relative Brauer groups II.
W.M. Kantor, B. Fein, M. Schacher (1981)
Journal für die reine und angewandte Mathematik
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On factor coverings of groups
Richard E. Phillips, J. M. Plotkin (1975)
Colloquium Mathematicae
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Green functions and a conjecture of Geck and Malle.
Shoji, Toshiaki (2000)
Beiträge zur Algebra und Geometrie
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Counting characters in blocks, I.
Everett C. Dade (1992)
Inventiones mathematicae
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On B-injectors of symmetric groups Sₙ and alternating groups Aₙ: a new approach
M. I. AlAli, Bilal Al-Hasanat, I. Sarayreh, M. Kasassbeh, M. Shatnawi, A. Neumann (2009)
Colloquium Mathematicae
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The aim of this paper is to introduce the notion of BG-injectors of finite groups and invoke this notion to determine the B-injectors of Sₙ and Aₙ and to prove that they are conjugate. This paper provides a new, more straightforward and constructive proof of a result of Bialostocki which determines the B-injectors of the symmetric and alternating groups.