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arxiv: 1605.07949 · v2 · pith:F4YMQZ5Onew · submitted 2016-05-25 · 🧮 math.RT

Some studies on Loewy lengths of centers of p-blocks

classification 🧮 math.RT
keywords loewyblockscenterslengthlengthssomealgebrasbound
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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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