V. A. Belonogov, “On irreducible characters of the group $S_n$ that are semiproportional on $A_n$ or $S_n\setminus A_n$. VII”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 3

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 1, Pages 3–16 (Mi timm667)

This article is cited in 1 scientific paper (total in 1 paper)

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

V. A. Belonogov

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

Full-text PDF (199 kB) Citations (1)

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Abstract: The proof of Hypothesis A, which was introduced in the first paper with the same title, was carried out in the previous six papers of the series and is completed in the present paper. As a consequence of this hypothesis, the following theorem is obtained: the alternating group $A_n$ for any natural $n$ has no pairs of semiproportional irreducible characters. The suggestion about the validity of this theorem was first formulated in the author's paper in 2004.

Keywords: symmetric groups, alternating groups, irreducible characters, semiproportionality.

Received: 26.10.2010

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 $S_n\setminus A_n$. VII”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 3–16

Citation in format AMSBIB

\Bibitem{Bel11}

\by V.~A.~Belonogov

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

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2011

\vol 17

\issue 1

\pages 3--16

\mathnet{http://mi.mathnet.ru/timm667}

\elib{https://elibrary.ru/item.asp?id=17869778}

Linking options:

https://www.mathnet.ru/eng/timm667

https://www.mathnet.ru/eng/timm/v17/i1/p3

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 1 articles:

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

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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