A Lower Bound on the Number of Generators of a Defect Group

被引：0

作者：

Carolina Vallejo Rodríguez

机构：

[1] Dipartimento di Matematica e Informatica ‘Ulisse Dini’,

来源：

Vietnam Journal of Mathematics | 2023年 / 51卷

关键词：

Block; Defect group; Group generator; 20C15; 20C20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Assuming that the statement of the Alperin–McKay–Navarro conjecture holds for a p-block B with defect group D, we show that the number of generators of D is bounded from below by the number of height-zero characters in B fixed by a specific element of the absolute Galois group of the rational numbers.

引用

页码：571 / 576

页数：5

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