V. A. Belonogov, “On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. II”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 3, 2008, 58–68; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S60

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Volume 14, Number 3, Pages 58–68 (Mi timm40)

This article is cited in 6 scientific papers (total in 6 papers)

On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. II

V. A. Belonogov

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

Full-text PDF (299 kB) Citations (6)

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Abstract: In the author's previous paper, the hypothesis that the alternating groups $A_n$ have no pairs of semiproportional irreducible characters is reduced to a hypothesis concerning the problem of describing the pairs of irreducible characters of the symmetric group $S_n$ that are semiproportional on one of the sets $A_n$ or $S_n\setminus A_n$. In this hypothesis, properties of such a pair of characters are expressed in terms of Young's diagrams corresponding to these characters. The theorem proved in this paper allows one to exclude from consideration some stages of the verification of this hypothesis.

Received: 18.02.2008

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 264, Issue 1, Pages S60–S71
DOI: https://doi.org/10.1134/S0081543809050058

Bibliographic databases:

Document Type: Article

UDC: 512.54

Language: Russian

Citation: V. A. Belonogov, “On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. II”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 3, 2008, 58–68; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S60–S71

Citation in format AMSBIB

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\vol 264

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Linking options:

https://www.mathnet.ru/eng/timm40

https://www.mathnet.ru/eng/timm/v14/i3/p58

Cycle of papers

On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. I
V. A. Belonogov
Trudy Inst. Mat. i Mekh. UrO RAN, 2008, 14:2, 143–163
On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. II
V. A. Belonogov
Trudy Inst. Mat. i Mekh. UrO RAN, 2008, 14:3, 58–68
On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. III
V. A. Belonogov
Trudy Inst. Mat. i Mekh. UrO RAN, 2008, 14:4, 12–30
On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. IV.
V. A. Belonogov
Trudy Inst. Mat. i Mekh. UrO RAN, 2009, 15:2, 12–33
On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. V
V. A. Belonogov
Trudy Inst. Mat. i Mekh. UrO RAN, 2010, 16:2, 13–34
On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. VI
V. A. Belonogov
Trudy Inst. Mat. i Mekh. UrO RAN, 2010, 16:3, 25–44
On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. VII
V. A. Belonogov
Trudy Inst. Mat. i Mekh. UrO RAN, 2011, 17:1, 3–16

This publication is cited in the following 6 articles:

Citing articles in Google Scholar: Russian citations, English citations
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Trudy Instituta Matematiki i Mekhaniki UrO RAN

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