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

Author:

Rodríguez Carolina VallejoORCID

Abstract

AbstractAssuming 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.

Funder

Ministerio de Ciencia e Innovación

Università degli Studi di Firenze

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference20 articles.

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