Upper and Lower Bounds of Table Sums

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2021-11-08 DOI:10.1142/s1005386721000432

Xiaoyou Chen, M. Lewis, H. Tong-Viet

引用次数: 0

Abstract

For a group [Formula: see text], we produce upper and lower bounds for the sum of the entries of the Brauer character table of [Formula: see text] and the projective indecomposable character table of [Formula: see text]. When [Formula: see text] is a [Formula: see text]-separable group, we show that the sum of the entries in the table of Isaacs' partial characters is a real number, and we obtain upper and lower bounds for this sum.

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表和的上下界

对于一个群[公式:见文]，我们给出了[公式:见文]的Brauer字符表和[公式:见文]的投影不可分解字符表的条目之和的上界和下界。当[Formula: see text]是[Formula: see text]-可分群时，我们证明了Isaacs部分字符表中条目的和是一个实数，并得到了这个和的上界和下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.