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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 $S_n$

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 $S_n$ that have the same set of roots in one of the sets $A_n$ and $S_n\setminus A_n$ is continued. All such pairs of irreducible characters of the group $S_n$ 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 $A_n$ 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 $S_n$”, 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 $S_n$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2007
\vol 13
\issue 2
\pages 13--32
\mathnet{http://mi.mathnet.ru/timm85}
\elib{https://elibrary.ru/item.asp?id=12040765}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2007
\vol 259
\issue , suppl. 2
\pages S12--S34
\crossref{https://doi.org/10.1134/S0081543807060028}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38949113798}
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    Cycle of papers
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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