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Revisiting Character Theory of Finite Groups

Vol. 13 No. 4 (2018) P.383~P.395
 DOI: https://doi.org/10.21915/BIMAS.2018402 10.21915/BIMAS.2018402

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.

KEYWORDS
$p$-blocks, character tables, eigenvalues.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20Cxx

MILESTONES

Revised : 2017-09-29
Accepted: 2017-09-26