Product of conjugacy classes of complete cycles in the alternating group

Omar Tout

doi:10.47443/dml.2022.018

Product of conjugacy classes of complete cycles in the alternating group

Omar Tout^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The product of conjugacy classes of a finite group can be written as a linear combination of conjugacy classes with integer coefficients. For the symmetric group, some explicit expressions for these coefficients are known only in particular cases. The aim of this paper is to give explicit expressions for the product of the conjugacy classes in the alternating group A_n corresponding to cycles of length n.

Original language	English
Pages (from-to)	35-40
Number of pages	6
Journal	Discrete Mathematics Letters
Volume	10
DOIs	https://doi.org/10.47443/dml.2022.018
Publication status	Published - Apr 30 2022

Keywords

alternating group
conjugacy classes
representation theory of finite groups
structure constants

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.47443/dml.2022.018

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abstract = "The product of conjugacy classes of a finite group can be written as a linear combination of conjugacy classes with integer coefficients. For the symmetric group, some explicit expressions for these coefficients are known only in particular cases. The aim of this paper is to give explicit expressions for the product of the conjugacy classes in the alternating group An corresponding to cycles of length n.",

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KW - representation theory of finite groups

KW - structure constants

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Product of conjugacy classes of complete cycles in the alternating group

Abstract

Keywords

ASJC Scopus subject areas

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