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Irreducible characters of the group S n that are semiproportional on A n .
- 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]
- Subjects :
- ALGEBRA
MATHEMATICS
MATHEMATICAL analysis
ALGORITHMS
LOGICAL prediction
Subjects
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