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The conjugacy character ofS n tends to be regular

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Abstract

Consider the regular and the conjugacy characters ofS n as vectors in Euclidean space, with the standard inner product. Asn grows, the angle between them tends to zero and the ratio of their lengths tends to one. The two characters have therefore asymptotically similar decompositions into irreducible components.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Ron M. Adin & Avital Frumkin

Authors
  1. Ron M. Adin
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  2. Avital Frumkin
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Adin, R.M., Frumkin, A. The conjugacy character ofS n tends to be regular. Israel J. Math. 59, 234–240 (1987). https://doi.org/10.1007/BF02787264

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  • DOI: https://doi.org/10.1007/BF02787264

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