References
Brauer, R.: Zur Darstellungstheorie der Gruppen endlicher Ordnung. II. Math. Z.72, 25–46 (1959).
—: Some applications of the theory of blocks of characters of finite groups. I. J. Algebra1, 152–167 (1964).
—: Some applications of the theory of blocks of characters of finite groups. II. J. Algebra1, 307–334 (1964).
Dade, E. C.: Lifting group characters. Ann. of Math.79, 590–596 (1964).
Feit, W.: Characters of finite groups. New York: W. A. Benjamin, Inc. 1967.
Feit, W., and J. G. Thompson. Solvability of groups of odd order. Pacific J. Math.13, 775–1029 (1963).
Glauberman, G.: A characterization of the Suzuki groups. Illinois J. Math.12, 76–98 (1968).
Gorenstein, D., and J. H. Walter: On finite groups with dihedral Sylow 2-subgroups. Illinois J. Math.6, 553–593 (1962).
Leonard, H. S., Jr., and K. K. McKelvey: On lifting characters in finite groups. J. Algebra7, 168–191 (1967).
Reynolds, W. F.: A generalization of Brauer characters. Trans. Amer. Math. Soc.119, 333–351 (1965).
—: Sections, isometries, and generalized group characters. J. Algebra7, 394–405 (1967).
Walter, J. H.: Character theory of finite groups with trivial intersection subsets. Nagoya Math. J.27, 515–524 (1966); correction, same J.30, 309 (1967).
Wong, W. J.: Exceptional character theory and the theory of blocks. Math. Z.91, 363–379 (1966).
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This research was supported in part by the National Science Foundation under Grants GP-4317 and GP-6954. Some of the work was done while the author was an Honorary Research Associate at Harvard University and during his stay at the 1966–67 Algebra Symposium of the University of Warwick.
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Reynolds, W.F. Isometries and principal blocks of group characters. Math Z 107, 264–270 (1968). https://doi.org/10.1007/BF01110015
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DOI: https://doi.org/10.1007/BF01110015