Irreducible characters of the symmetric group and exponential growth

2014/06/06 by Antonio Giambruno, С. П. Мищенко, Giambruno, Antonio +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1406.1653

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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