A note on lifting Brauer characters
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- by Stephen M. Gagola PDF
- Proc. Amer. Math. Soc. 53 (1975), 295-300 Request permission
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
- R. Brauer and C. Nesbitt, On the modular characters of groups, Ann. of Math. (2) 42 (1941), 556–590. MR 4042, DOI 10.2307/1968918
- Larry Dornhoff, Group representation theory. Part A: Ordinary representation theory, Pure and Applied Mathematics, vol. 7, Marcel Dekker, Inc., New York, 1971. MR 0347959
- D. G. Higman, Modules with a group of operators, Duke Math. J. 21 (1954), 369–376. MR 67895
- B. Huppert, Endliche Gruppen. I, Die Grundlehren der mathematischen Wissenschaften, Band 134, Springer-Verlag, Berlin-New York, 1967 (German). MR 0224703
- I. M. Isaacs, Lifting Brauer characters of $p$-solvable groups, Pacific J. Math. 53 (1974), 171–188. MR 360789
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 295-300
- MSC: Primary 20C20
- DOI: https://doi.org/10.1090/S0002-9939-1975-0390038-0
- MathSciNet review: 0390038