Degrees of irreducible characters of the symmetric group and exponential growth

Antonino Giambruno; Sergey Mishchenko

Degrees of irreducible characters of the symmetric group and exponential growth

Antonino Giambruno, Sergey Mishchenko

Matematica e Informatica

Risultato della ricerca: Article › peer review

4 Citazioni (Scopus)

Abstract

We consider sequences of degrees of ordinary irreducible Sncharacters. 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.

Lingua originale	English
pagine (da-a)	943-953
Numero di pagine	11
Rivista	Proceedings of the American Mathematical Society
Volume	144
Stato di pubblicazione	Published - 2016

All Science Journal Classification (ASJC) codes

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abstract = "We consider sequences of degrees of ordinary irreducible Sncharacters. 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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AB - We consider sequences of degrees of ordinary irreducible Sncharacters. 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.

UR - http://hdl.handle.net/10447/219021

UR - http://www.ams.org/journals/proc/2016-144-03/S0002-9939-2015-12758-X/S0002-9939-2015-12758-X.pdf

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

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Degrees of irreducible characters of the symmetric group and exponential growth

Abstract

All Science Journal Classification (ASJC) codes

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