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Proceedings of the American Mathematical Society

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A note on lifting Brauer characters

Author: Stephen M. Gagola
Journal: Proc. Amer. Math. Soc. 53 (1975), 295-300
MSC: Primary 20C20
MathSciNet review: 0390038
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Abstract: A Brauer character of a finite group may be lifted to an ordinary character if it lies in a block whose defect groups are contained in a normal $ p$-solvable subgroup.

References [Enhancements On Off] (What's this?)

  • [1] R. Brauer and C. Nesbitt, On the modular characters of groups, Ann. of Math. (2) 42 (1941), 556–590. MR 0004042
  • [2] Larry Dornhoff, Group representation theory. Part B: Modular representation theory, Marcel Dekker, Inc., New York, 1972. Pure and Applied Mathematics, 7. MR 0347960
  • [3] D. G. Higman, Modules with a group of operators, Duke Math. J. 21 (1954), 369–376. MR 0067895
  • [4] B. Huppert, Endliche Gruppen. I, Die Grundlehren der Mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703
  • [5] I. M. Isaacs, Lifting Brauer characters of 𝑝-solvable groups, Pacific J. Math. 53 (1974), 171–188. MR 0360789

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Keywords: Lifting Brauer characters, vertices, defect groups
Article copyright: © Copyright 1975 American Mathematical Society