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Characters of the classes of the form (n 1,n 2,n 3) in symmetric groups

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Summary

It is shown in this paper that the non-zero characters of the classes of the form (n 1,n 2,…n k ) come only from partitions belonging to P1, P2,…P k . Using the recurrence relations between S-functions the characters of the classes (n 1,n 2,n 3) are expressed in terms of the known characters of the classes (n 1,n 2).

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Reference

  1. Journal of the Indian Mathematical Society, 1943,7, 42.

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Authors and Affiliations

  1. Department of Physics, Andhra University, Guntur

    T. Vbnkatarayudu M.A., Ph.D., F.A.Sc.

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  1. T. Vbnkatarayudu M.A., Ph.D., F.A.Sc.
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Vbnkatarayudu, T. Characters of the classes of the form (n 1,n 2,n 3) in symmetric groups. Proc. Indian Acad. Sci. (Math. Sci.) 22, 42 (1945). https://doi.org/10.1007/BF03170734

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  • DOI: https://doi.org/10.1007/BF03170734

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