Degrees of irreducible characters of the symmetric group and exponential growth

Giambruno, Antonio; Mishchenko, Sergey

doi:10.1090/proc/12758

Degrees of irreducible characters of the symmetric group and exponential growth
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by Antonio Giambruno and Sergey Mishchenko

Proc. Amer. Math. Soc. 144 (2016), 943-953

DOI: https://doi.org/10.1090/proc/12758

Published electronically: October 6, 2015

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Abstract:

We consider sequences of degrees of ordinary irreducible $S_n$- characters. We assume that the corresponding Young diagrams have rows and columns bounded by some linear function of $n$ with leading coefficient less than one. We show that any such sequence has at least exponential growth and we compute an explicit bound.

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