V. A. Belonogov, “Certain pairs of irreducible characters of the groups $S_n$”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 2, 2007, 13–32; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S12

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2007, Volume 13, Number 2, Pages 13–32 (Mi timm85)

This article is cited in 10 scientific papers (total in 10 papers)

Certain pairs of irreducible characters of the groups

S_{n}

$S_n$

V. A. Belonogov

Full-text PDF (429 kB) Citations (10)

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Abstract: The investigation of the pairs of irreducible characters of the symmetric group

S_{n}

$S_n$ that have the same set of roots in one of the sets

A_{n}

$A_n$ and

S_{n} ∖ A_{n}

$S_n\setminus A_n$ is continued. All such pairs of irreducible characters of the group

S_{n}

$S_n$ are found in the case when the least of the main diagonal's lengths of the Young diagrams corresponding to these characters does not exceed 2. Some arguments are obtained for the conjecture that alternating groups

A_{n}

$A_n$ have no pairs of semiproportional irreducible characters.

Received: 15.10.2006

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2007, Volume 259, Issue 2, Pages S12–S34
DOI: https://doi.org/10.1134/S0081543807060028

Bibliographic databases:

Document Type: Article

UDC: 512.54

Language: Russian

Citation: V. A. Belonogov, “Certain pairs of irreducible characters of the groups

S_{n}

$S_n$ ”, Trudy Inst. Mat. i Mekh. UrO RAN, 13, no. 2, 2007, 13–32; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S12–S34

Citation in format AMSBIB

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\by V.~A.~Belonogov

\paper Certain pairs of irreducible characters of the groups $S_n$

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\vol 13

\issue 2

\pages 13--32

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\elib{https://elibrary.ru/item.asp?id=12040765}

\transl

\jour Proc. Steklov Inst. Math. (Suppl.)

\yr 2007

\vol 259

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\pages S12--S34

\crossref{https://doi.org/10.1134/S0081543807060028}

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Linking options:

https://www.mathnet.ru/eng/timm85

https://www.mathnet.ru/eng/timm/v13/i2/p13

Cycle of papers

Certain pairs of irreducible characters of the groups $S_n$ and $A_n$
V. A. Belonogov
Trudy Inst. Mat. i Mekh. UrO RAN, 2007, 13:1, 11–43
Certain pairs of irreducible characters of the groups $S_n$
V. A. Belonogov
Trudy Inst. Mat. i Mekh. UrO RAN, 2007, 13:2, 13–32

This publication is cited in the following 10 articles:

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
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
V. A. Belonogov, “On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$ . VI”, Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S14–S35
Belonogov V.A., “On character tables and abstract structure of finite groups”, Character Theory of Finite Groups, Contemporary Mathematics, 524, 2010, 1–10
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
V. A. Belonogov, “Irreducible characters of the group $S_n$ that are semiproportional on $A_n$ ”, Algebra and Logic, 47:2 (2008), 77–90
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
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
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
V. A. Belonogov, “Young diagrams without hooks of length 4 and characters of the group $S_n$ ”, Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S24–S35

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