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Isometries and principal blocks of group characters

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References

  1. Brauer, R.: Zur Darstellungstheorie der Gruppen endlicher Ordnung. II. Math. Z.72, 25–46 (1959).

    Google Scholar 

  2. —: Some applications of the theory of blocks of characters of finite groups. I. J. Algebra1, 152–167 (1964).

    Google Scholar 

  3. —: Some applications of the theory of blocks of characters of finite groups. II. J. Algebra1, 307–334 (1964).

    Google Scholar 

  4. Dade, E. C.: Lifting group characters. Ann. of Math.79, 590–596 (1964).

    Google Scholar 

  5. Feit, W.: Characters of finite groups. New York: W. A. Benjamin, Inc. 1967.

    Google Scholar 

  6. Feit, W., and J. G. Thompson. Solvability of groups of odd order. Pacific J. Math.13, 775–1029 (1963).

    Google Scholar 

  7. Glauberman, G.: A characterization of the Suzuki groups. Illinois J. Math.12, 76–98 (1968).

    Google Scholar 

  8. Gorenstein, D., and J. H. Walter: On finite groups with dihedral Sylow 2-subgroups. Illinois J. Math.6, 553–593 (1962).

    Google Scholar 

  9. Leonard, H. S., Jr., and K. K. McKelvey: On lifting characters in finite groups. J. Algebra7, 168–191 (1967).

    Google Scholar 

  10. Reynolds, W. F.: A generalization of Brauer characters. Trans. Amer. Math. Soc.119, 333–351 (1965).

    Google Scholar 

  11. —: Sections, isometries, and generalized group characters. J. Algebra7, 394–405 (1967).

    Google Scholar 

  12. 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).

    Google Scholar 

  13. Wong, W. J.: Exceptional character theory and the theory of blocks. Math. Z.91, 363–379 (1966).

    Google Scholar 

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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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