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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

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

3. 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

4. Groups with a small average number of zeros in the character table;Journal of Algebra;2022-01
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