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Trudy Inst. Mat. i Mekh. UrO RAN, 2007, Volume 13, Number 3, Pages 30–40 (Mi timm104)  

This article is cited in 7 scientific papers (total in 7 papers)

Young diagrams without hooks of length 4 and characters of the group $S_n$

V. A. Belonogov


Abstract: All finite Young diagrams not containing hooks of length 4 are found. Self-associated diagrams possessing this property are subdivided into three series. Sets of all hook lengths are determined for diagrams contained in each series. The research conducted has proven necessary for the study of certain pairs of irreducible characters of symmetric and alternating groups.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2008, 261, suppl. 1, S24–S35

UDC: 512.54
Received: 02.11.2007

Citation: V. A. Belonogov, “Young diagrams without hooks of length 4 and characters of the group $S_n$”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 3, 2007, 30–40; Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S24–S35

Citation in format AMSBIB
\Bibitem{Bel07}
\by V.~A.~Belonogov
\paper Young diagrams without hooks of length~4 and characters of the group~$S_n$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 3
\pages 30--40
\mathnet{http://mi.mathnet.ru/timm104}
\elib{http://elibrary.ru/item.asp?id=12040784}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2008
\vol 261
\issue , suppl. 1
\pages S24--S35
\crossref{https://doi.org/10.1134/S008154808050039}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-66149161671}


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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  mathnet  crossref  zmath  isi  elib
    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  mathnet  crossref  mathscinet  isi  elib
    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  mathnet  elib
    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  mathnet  crossref  isi  elib
    5. V. A. Belonogov, “O neprivodimykh kharakterakh gruppy $S_n$, poluproportsionalnykh na $A_n$ ili na $S_n\setminus A_n$. V”, Tr. IMM UrO RAN, 16, no. 2, 2010, 13–34  mathnet  elib
    6. Belonogov V.A., “On character tables and abstract structure of finite groups”, Character Theory of Finite Groups, Contemporary Mathematics, 524, 2010, 1–10  crossref  mathscinet  zmath  isi
    7. 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  mathnet  elib
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