登录 注册 会员服务 联系我们

The sparsity of character tables of high rank groups of Lie type

  • Published:2021-03-04 Issue:7 Volume:25 Page:173-192
  • ISSN:1088-4165
  • Container-title:Representation Theory of the American Mathematical Society
  • language:en
  • Short-container-title:Represent. Theory

Author:

Larsen Michael,Miller Alexander

Abstract

In the high rank limit, the fraction of non-zero character table entries of finite simple groups of Lie type goes to zero.

Publisher

American Mathematical Society (AMS)

Subject

Mathematics (miscellaneous)

Reference17 articles.

1. Centralizers of semisimple elements in the finite classical groups;Carter, R. W.;Proc. London Math. Soc. (3),1981

2. The distribution of the number of summands in the partitions of a positive integer;Erdös, Paul;Duke Math. J.,1941

3. On some problems of a statistical group-theory. I;Erdős, P.;Z. Wahrscheinlichkeitstheorie und Verw. Gebiete,1965

4. Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements;Fulman, Jason;Trans. Amer. Math. Soc.,2012

5. The number of regular semisimple conjugacy classes in the finite classical groups;Fulman, Jason;Linear Algebra Appl.,2013

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Zeros and roots of unity in character tables;L’Enseignement Mathématique;2024-04-10

2. COMMON ZEROS OF IRREDUCIBLE CHARACTERS;Journal of the Australian Mathematical Society;2023-12-11

3. Nonsolvable Groups have a Large Proportion of Vanishing Elements;Israel Journal of Mathematics;2022-11-28

4. Almost all entries in the character table of the symmetric group are multiples of any given prime;Journal für die reine und angewandte Mathematik (Crelles Journal);2022-03-25

5. Groups with a small average number of zeros in the character table;Journal of Algebra;2022-01
同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3