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arXiv · 1806.08029

Notes on Loewy series of centers of $p$-blocks

Yoshihiro Otokita
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Abstract

The present paper describes some results on the Loewy series of the center of a modular group algebra in order to solve a problem on the number of irreducible ordinary characters. For instance, we prove that a $p$-block of a finite group has at least $p+2$ characters if its defect group contains non-elementary center.

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BibTeXRIS

Yoshihiro Otokita. 2018-06-21. Notes on Loewy series of centers of $p$-blocks. https://arxiv.org/abs/1806.08029

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