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Irreducible characters of the group S n that are semiproportional on A n .

Authors :
Belonogov, V.
Source :
Algebra & Logic; Mar2008, Vol. 47 Issue 2, p77-90, 14p, 13 Diagrams
Publication Year :
2008

Abstract

Previously, we dubbed the conjecture that the alternating group A<subscript>n</subscript> has no semiproportional irreducible characters for any natural n [1]. This conjecture was then shown to be equivalent to the following [3]. Let α and β be partitions of a number n such that their corresponding characters χ<superscript>α</superscript> and χ<superscript>β</superscript> in the group S<subscript>n</subscript> are semiproportional on A<subscript>n</subscript>. Then one of the partitions α or β is self-associated. Here, we describe all pairs (α, β) of partitions satisfying the hypothesis and the conclusion of the latter conjecture. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00025232
Volume :
47
Issue :
2
Database :
Complementary Index
Journal :
Algebra & Logic
Publication Type :
Academic Journal
Accession number :
33405393
Full Text :
https://doi.org/10.1007/s10469-008-9004-2