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.
A Lower Bound on the Number of Generators of a Defect Group / Rodriguez C.V.. - In: VIETNAM JOURNAL OF MATHEMATICS. - ISSN 2305-221X. - STAMPA. - 51:(2023), pp. 571-576. [10.1007/s10013-022-00586-z]
A Lower Bound on the Number of Generators of a Defect Group
Rodriguez C. V.
2023
Abstract
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.
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