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 Sibirsk. Mat. Zh., 2008, Volume 49, Number 5, Pages 992–1006 (Mi smj1897)

The young diagrams of a pair of irreducible characters of $S_n$ with the same zero set on $S^\varepsilon_n$

V. A. Belonogov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: In studying the pairs of irreducible characters of the symmetric group $S_n$ with the same zero set on $A_n$ or $S_n\setminus A_n$ (as well as the pairs of irreducible characters with the same zero set on the alternating group $A_n$), the results are important on the connection between the Young diagrams of the characters of these pairs. We prove a theorem that considerably generalizes two previous results of frequent use in this direction.

Keywords: symmetric group, irreducible character, zero of a character, Young diagram.

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English version:
Siberian Mathematical Journal, 2008, 49:5, 784–795

Bibliographic databases:

UDC: 512.54

Citation: V. A. Belonogov, “The young diagrams of a pair of irreducible characters of $S_n$ with the same zero set on $S^\varepsilon_n$”, Sibirsk. Mat. Zh., 49:5 (2008), 992–1006; Siberian Math. J., 49:5 (2008), 784–795

Citation in format AMSBIB
\Bibitem{Bel08} \by V.~A.~Belonogov \paper The young diagrams of a~pair of irreducible characters of $S_n$ with the same zero set on~$S^\varepsilon_n$ \jour Sibirsk. Mat. Zh. \yr 2008 \vol 49 \issue 5 \pages 992--1006 \mathnet{http://mi.mathnet.ru/smj1897} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2469048} \transl \jour Siberian Math. J. \yr 2008 \vol 49 \issue 5 \pages 784--795 \crossref{https://doi.org/10.1007/s11202-008-0077-x} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000259921800004} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-53649111152} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. A. Belonogov, “On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. I”, Proc. Steklov Inst. Math. (Suppl.), 263, suppl. 2 (2008), S150–S171
2. V. A. Belonogov, “On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. II”, Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S60–S71
3. V. A. Belonogov, “O neprivodimykh kharakterakh gruppy $S_n$, poluproportsionalnykh na $A_n$ ili na $S_n\setminus A_n$. III”, Tr. IMM UrO RAN, 14, no. 4, 2008, 12–30
4. V. A. Belonogov, “On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. IV.”, Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S10–S32
5. V. A. Belonogov, “O neprivodimykh kharakterakh gruppy $S_n$, poluproportsionalnykh na $A_n$ ili na $S_n\setminus A_n$. VII”, Tr. IMM UrO RAN, 17, no. 1, 2011, 3–16
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