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Groups whose non-linear irreducible characters are rational valued

✍ Scribed by M. R. Darafsheh; A. Iranmanesh; S. A. Moosavi


Publisher
Springer
Year
2010
Tongue
English
Weight
155 KB
Volume
94
Category
Article
ISSN
0003-889X

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The Irreducible Brauer Characters of the
✍ Jochen Gruber πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 357 KB

The irreducible Brauer characters of SL q are investigated for primes l not n Ε½ . dividing q. They are described in terms of a set of ordinary characters of SL q n whose reductions modulo l are a generating set of the additive group of generalized Brauer characters and the decomposition numbers of t

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✍ M. Kiyota; S. Nozawa πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 356 KB

Cameron and Kiyota [J. Algebra 115 (1988), 125-143] posed the problem of determining all the \(L\)-sharp pairs \((G, \chi)\) for a given set \(L\), and they conjectured that \(G\) is dihedral of twice odd prime order if \(L\) is the set \(\{0\} \cup L^{\prime}\), where \(L^{\prime}\) is a family of