Some studies on Loewy lengths of centers of p-blocks

In this paper, we investigate some relations between the Loewy lengths of the centers of blocks of group algebras and its defect groups. In particular, we give a new upper bound of the Loewy length and determine the structure of blocks with large Loewy length.

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Bibliographic Details
Published in:arXiv.org 2016-06
Main Author: Otokita, Yoshihiro
Format: Article
Language:English
Subjects:
Upper bounds
Online Access:Get full text
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Description
Summary:In this paper, we investigate some relations between the Loewy lengths of the centers of blocks of group algebras and its defect groups. In particular, we give a new upper bound of the Loewy length and determine the structure of blocks with large Loewy length.
ISSN:2331-8422