交替群中完全环共轭类的乘积

IF 1 Q1 MATHEMATICS

Discrete Mathematics Letters Pub Date : 2022-04-30 DOI:10.47443/dml.2022.018

Omar Tout

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引用次数: 0

摘要

有限群的共轭类的乘积可以写成共轭类与整数系数的线性组合。对于对称群，这些系数的一些显式表达式只有在特定情况下才是已知的。本文的目的是给出交替群An中与长度为n的循环对应的共轭类的乘积的显式表达式。

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Product of conjugacy classes of complete cycles in the alternating group

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 .

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来源期刊

Discrete Mathematics Letters Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

12 weeks