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2018 / December Volume 13 No.4
Revisiting Character Theory of Finite Groups
Published Date
2018 / December
Title
Revisiting Character Theory of Finite Groups
Author
Koichiro Harada
Keyword
$p$-blocks, character tables, eigenvalues.
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Pagination
383-395
Abstract
Two conjectures proposed (old and somewhat new) by the author elsewhere are discussed in this article. One is concerned with a modular version of the regular character of a finite group $G$, and the second one is concerned with the ratio of the product of the sizes of all conjugacy classes of $G$ and the product of the degrees of all irreducible characters.
DOI
10.21915/BIMAS.2018402
https://doi.org/10.21915/BIMAS.2018402
AMS Subject
Classification
20Cxx
Received
2017-09-29
Accepted
2017-09-26
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